- published: 28 Dec 2017
- views: 404247
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Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.
The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Trigonometric_functions
Seč (Ústí nad Orlicí District)
Seč is a village and municipality (obec) in the Ústí nad Orlicí District, Pardubice Region of the Czech Republic.
The municipality covers an area of 2.43 square kilometres (0.94 sq mi), and had a population of 141 (as of 2 October 2006).
Seč lies approximately 10 kilometres (6 mi) north-west of Ústí nad Orlicí, 38 km (24 mi) east of Pardubice, and 135 km (84 mi) east of Prague.
References
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Seč_(Ústí_nad_Orlicí_District)
Seč (Plzeň-South District)
Seč is a village and municipality (obec) in Plzeň-South District in the Plzeň Region of the Czech Republic.
The municipality covers an area of 3.34 square kilometres (1.29 sq mi), and has a population of 282 (as at 3 July 2006).
Seč lies approximately 20 kilometres (12 mi) south-east of Plzeň and 87 km (54 mi) south-west of Prague.
References
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Seč_(Plzeň-South_District)
State
State may refer to:
Law and politics
- Federated state, a constituent state that is part of a federal model and shares sovereignty with the federal government
- U.S. state, a constituent state of the United States, the most prominent example of a federated constituent state
Science and technology
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/State
State (CTA Englewood Line station)
State was a station on the Englewood Branch of the Chicago 'L'. The station opened on November 3, 1905 and closed on September 2, 1973 as part of a group of budget-related CTA station closings.
References
External links
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/State_(CTA_Englewood_Line_station)
State (religious life)
In Christianity, the word state may be taken to signify a profession or calling in life. St. Paul says, in I Corinthians 7:20: "Let every man abide in the same calling in which he was called". States are classified in the Catholic Church as the clerical state, the religious state, and the secular state; and among religious states, again, we have those of the contemplative, the active, and the mixed orders.
See also
Notes
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/State_(religious_life)
Template
Template may mean:
Computer science and information technology
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Template
Podcasts:
-
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as pi radians. We just make some triangles and set up a few definitions. I promise it's no sweat, just watch this! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/ProfDaveBio EMAIL► ProfessorDaveExplains@gmail.com PATREON► http://patreon.com/ProfessorDaveExplains ...
published: 28 Dec 2017 -
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We use the diagram to explain features about why tangent and secant aren't defined at pi/2, the possible outputs of these six functions, and the Pythagorean trig identities. We also briefly discuss the fact that the "co" on three of the functions refer to the "complementary angle." If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks! This animation is based on a classic diagram for describing the six main trig functions. If you want to know more trig ...
published: 25 Aug 2023 -
The Six Trigonometric Functions, Basic Introduction, Trigonometry
This trigonometry video tutorial provides a basic introduction into the six trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant. It provides the equations and formulas associated with these trigonometric functions as they relate to the unit circle. Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o The Unit Circle: https://www.youtube.com/watch?v=57VrEiEPD1I How To Remember The Unit Circle Fast: https://www.youtube.com/watch?v=gdJq1QunN-o Reference Angles: https://www.youtube.com/watch?v=E-xFXpVo14o How To Solve Right Triangles: https://www.youtube.com/watch?v=i3bjEOA5_zc ...
published: 13 Oct 2017 -
Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video contains plenty of examples and practice problems. Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o Angle of Elevation Problems: https://www.youtube.com/watch?v=uyKvSe6Ltgs Evaluating Trig Functions Given a Point: https://www.youtube.com/watch?v=P8rdY2ahkms A Simple Way to Remember Trig Values: https://www.youtube.com/watch?v=YDuPdLL9GGo Exact Value of 5 Remaining Trig Functions: https://www....
published: 09 Nov 2016 -
Trigonometry For Beginners!
This math video tutorial provides a basic introduction into trigonometry. It covers trigonometric ratios such as sine, cosine, and tangent. It explains how to evaluate it using right triangle trigonometry and SOHCAHTOA. In addition, it explains how to solve the missing sides of triangles and how to find the missing angles using inverse trig functions. This video contains useful trigonometry lessons for beginners. it contains plenty of examples and practice problems. Trigonometry Formula Sheet: https://bit.ly/47diggI Full-Length Math & Science Videos: https://www.patreon.com/mathsciencetutor/collections Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o Introduction to Angles: https://www.youtu...
published: 25 Jul 2017 -
Graphing Trigonometric Functions
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to understand if we have the unit circle memorized, so make sure you've watched that tutorial too, and then let's do this! Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1 Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2 General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem Biology Tutorials: http://bit.ly/P...
published: 15 Jan 2018 -
Trigonometry Concepts - Don't Memorize! Visualize!
A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and the Pythagorean Theorem. UPDATE: I have posted a longer multi-part trig series! Please see the Introductory video here: https://youtu.be/U23JMdBIJ0M The playlist is here: https://www.youtube.com/playlist?list=PLhSQQGbiWoTChZSbP-XcXH40IT7vfyyFk Thanks for your patience! Timestamps for this video: 00:00 Introduction 00:36 1. The Six Trigonometric Functions 09:35 2. Cartesian Coordinates and Quadrants 11:24 3. Angle Measurement in Degrees and Radians 19:34 4. The Pythagorean Theorem 20:44 5. The Unit Circle International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class ...
published: 22 Apr 2019 -
How To Graph Trigonometric Functions | Trigonometry
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic. Get The Full 1 Hour 25 Minute Video on Patreon: https://www.patreon.com/MathScienceTutor Direct Link to The Full Video: https://bit.ly/38wtIWU ___________________________ Full 1 Hour 25 Minute Video: https://www.youtube.com/watch?v=fQPOBOFb2sY Join The Membership Program: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/join The full version explains how to graph secant, cosecant, tangent and cotangent functions.
published: 15 Apr 2021 -
Trig Identities
This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities. Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor Trigonometry Formula Sheet: https://bit.ly/47diggI _____________________________________________________________________________________________ Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o Introduction to Angles: https://www.youtube.com/w...
published: 06 Apr 2023 -
Graphing Sine and Cosine Trig Functions With Transformations, Phase Shifts, Period - Domain & Range
This trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase shifts, period, and amplitude. Trigonometry - Free Formula Sheet: https://bit.ly/47diggI _______________________________ Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o Angle of Elevation Problems: https://www.youtube.com/watch?v=uyKvSe6Ltgs Evaluating Trig Functions Given a Point: https://www.youtube.com/watch?v=P8rdY2ahkms A Simple Way to Remember Trig Values: https://www.youtube.com/watch?v=YDuPdLL9GGo Exact Value of 5 Remaining Trig Functions: https://www.youtube.com/watch?v=H7GwDntpGUY Evaluate Trig Functions Using Reference...
published: 22 Feb 2016
developed with YouTube
7:18
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
- Order: Reorder
- Duration: 7:18
- Uploaded Date: 28 Dec 2017
- views: 404247
Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understand...
Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as pi radians. We just make some triangles and set up a few definitions. I promise it's no sweat, just watch this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
https://wn.com/Trigonometric_Functions_Sine,_Cosine,_Tangent,_Cosecant,_Secant,_And_Cotangent
Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as pi radians. We just make some triangles and set up a few definitions. I promise it's no sweat, just watch this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
4:15
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
- Order: Reorder
- Duration: 4:15
- Uploaded Date: 25 Aug 2023
- views: 393734
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, a...
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We use the diagram to explain features about why tangent and secant aren't defined at pi/2, the possible outputs of these six functions, and the Pythagorean trig identities. We also briefly discuss the fact that the "co" on three of the functions refer to the "complementary angle."
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a classic diagram for describing the six main trig functions. If you want to know more trig identities, check out my playlist:
https://youtube.com/playlist?list=PLZh9gzIvXQUvc6SufrIpkVrVLdhcGthSy&si;=2IXs0Jx5j30_-spb
or check out this Wikipedia article:
https://en.wikipedia.org/wiki/List_of_trigonometric_identities
Here is an interactive version from Tien Chih using Desmos:
https://www.desmos.com/calculator/26ftp9is44
Here are alternate videos with the same diagram:
https://youtu.be/Dsf6ADwJ66E?si=1N8GEyBe3abyoan1
https://youtu.be/68Pi4RJ1Rnw?si=aTCeeGa73-R3eApe
#math #mathvideo #math #trigonometry #trigidentities #identity #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #pythagoreantheorem #obtuseangle #acuteangle #angle #sine #cosine #tangent #secant #cosecant #cotangent #learnmaths
To learn more about animating with manim, check out:
https://manim.community
_______________
Music in this video:
Meditation Impromptu 02 by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100162
Artist: http://incompetech.com/
https://wn.com/Trig_Visualized_One_Diagram_To_Rule_Them_All_(Six_Trig_Functions_In_One_Diagram)
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We use the diagram to explain features about why tangent and secant aren't defined at pi/2, the possible outputs of these six functions, and the Pythagorean trig identities. We also briefly discuss the fact that the "co" on three of the functions refer to the "complementary angle."
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a classic diagram for describing the six main trig functions. If you want to know more trig identities, check out my playlist:
https://youtube.com/playlist?list=PLZh9gzIvXQUvc6SufrIpkVrVLdhcGthSy&si;=2IXs0Jx5j30_-spb
or check out this Wikipedia article:
https://en.wikipedia.org/wiki/List_of_trigonometric_identities
Here is an interactive version from Tien Chih using Desmos:
https://www.desmos.com/calculator/26ftp9is44
Here are alternate videos with the same diagram:
https://youtu.be/Dsf6ADwJ66E?si=1N8GEyBe3abyoan1
https://youtu.be/68Pi4RJ1Rnw?si=aTCeeGa73-R3eApe
#math #mathvideo #math #trigonometry #trigidentities #identity #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #pythagoreantheorem #obtuseangle #acuteangle #angle #sine #cosine #tangent #secant #cosecant #cotangent #learnmaths
To learn more about animating with manim, check out:
https://manim.community
_______________
Music in this video:
Meditation Impromptu 02 by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100162
Artist: http://incompetech.com/
- published: 25 Aug 2023
- views: 393734
2:02
The Six Trigonometric Functions, Basic Introduction, Trigonometry
- Order: Reorder
- Duration: 2:02
- Uploaded Date: 13 Oct 2017
- views: 259164
This trigonometry video tutorial provides a basic introduction into the six trigonometric functions such as sine, cosine, tangent, cotangent, secant, and coseca...
This trigonometry video tutorial provides a basic introduction into the six trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant. It provides the equations and formulas associated with these trigonometric functions as they relate to the unit circle.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
The Unit Circle:
https://www.youtube.com/watch?v=57VrEiEPD1I
How To Remember The Unit Circle Fast:
https://www.youtube.com/watch?v=gdJq1QunN-o
Reference Angles:
https://www.youtube.com/watch?v=E-xFXpVo14o
How To Solve Right Triangles:
https://www.youtube.com/watch?v=i3bjEOA5_zc
_____________________________
Reciprocal Identities:
https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities:
https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities:
https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities:
https://www.youtube.com/watch?v=TpADRvW8zm8
The Pythagorean Theorem:
https://www.youtube.com/watch?v=pbf4lcJhIfI
Trig Functions - Periodic Properties:
https://www.youtube.com/watch?v=8Z60_yXX4xA
________________________________
The Exact Value of Trig Functions:
https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90:
https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Patterns - Pythagorean Theorem:
https://www.youtube.com/watch?v=MeBcJPdjeI4
Cofunction Identities:
https://www.youtube.com/watch?v=35fxto48HZY
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
https://wn.com/The_Six_Trigonometric_Functions,_Basic_Introduction,_Trigonometry
This trigonometry video tutorial provides a basic introduction into the six trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant. It provides the equations and formulas associated with these trigonometric functions as they relate to the unit circle.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
The Unit Circle:
https://www.youtube.com/watch?v=57VrEiEPD1I
How To Remember The Unit Circle Fast:
https://www.youtube.com/watch?v=gdJq1QunN-o
Reference Angles:
https://www.youtube.com/watch?v=E-xFXpVo14o
How To Solve Right Triangles:
https://www.youtube.com/watch?v=i3bjEOA5_zc
_____________________________
Reciprocal Identities:
https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities:
https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities:
https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities:
https://www.youtube.com/watch?v=TpADRvW8zm8
The Pythagorean Theorem:
https://www.youtube.com/watch?v=pbf4lcJhIfI
Trig Functions - Periodic Properties:
https://www.youtube.com/watch?v=8Z60_yXX4xA
________________________________
The Exact Value of Trig Functions:
https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90:
https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Patterns - Pythagorean Theorem:
https://www.youtube.com/watch?v=MeBcJPdjeI4
Cofunction Identities:
https://www.youtube.com/watch?v=35fxto48HZY
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
- published: 13 Oct 2017
- views: 259164
59:18
Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles
- Order: Reorder
- Duration: 59:18
- Uploaded Date: 09 Nov 2016
- views: 790209
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find...
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video contains plenty of examples and practice problems.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
https://wn.com/Trigonometric_Functions_Of_Any_Angle_Unit_Circle,_Radians,_Degrees,_Coterminal_Reference_Angles
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video contains plenty of examples and practice problems.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
- published: 09 Nov 2016
- views: 790209
21:52
Trigonometry For Beginners!
- Order: Reorder
- Duration: 21:52
- Uploaded Date: 25 Jul 2017
- views: 6481639
This math video tutorial provides a basic introduction into trigonometry. It covers trigonometric ratios such as sine, cosine, and tangent. It explains how to...
This math video tutorial provides a basic introduction into trigonometry. It covers trigonometric ratios such as sine, cosine, and tangent. It explains how to evaluate it using right triangle trigonometry and SOHCAHTOA. In addition, it explains how to solve the missing sides of triangles and how to find the missing angles using inverse trig functions. This video contains useful trigonometry lessons for beginners. it contains plenty of examples and practice problems.
Trigonometry Formula Sheet:
https://bit.ly/47diggI
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles:
https://www.youtube.com/watch?v=oxhXz9_uyiM
Linear Speed and Angular Velocity:
https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems:
https://www.youtube.com/watch?v=LEHYr0XfSyI
______________________________________
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluate Trig Functions - Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
____________________________________________
Verifying Trig Identities:
https://www.youtube.com/watch?v=Rf05H8ogHLg
Full Length Exam Videos + Worksheets:
https://bit.ly/4990rzU
Final Exams and Video Playlists:
https://www.video-tutor.net/
Trigonometry Formula Sheet:
https://bit.ly/47diggI
https://wn.com/Trigonometry_For_Beginners
This math video tutorial provides a basic introduction into trigonometry. It covers trigonometric ratios such as sine, cosine, and tangent. It explains how to evaluate it using right triangle trigonometry and SOHCAHTOA. In addition, it explains how to solve the missing sides of triangles and how to find the missing angles using inverse trig functions. This video contains useful trigonometry lessons for beginners. it contains plenty of examples and practice problems.
Trigonometry Formula Sheet:
https://bit.ly/47diggI
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles:
https://www.youtube.com/watch?v=oxhXz9_uyiM
Linear Speed and Angular Velocity:
https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems:
https://www.youtube.com/watch?v=LEHYr0XfSyI
______________________________________
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluate Trig Functions - Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
____________________________________________
Verifying Trig Identities:
https://www.youtube.com/watch?v=Rf05H8ogHLg
Full Length Exam Videos + Worksheets:
https://bit.ly/4990rzU
Final Exams and Video Playlists:
https://www.video-tutor.net/
Trigonometry Formula Sheet:
https://bit.ly/47diggI
- published: 25 Jul 2017
- views: 6481639
11:40
Graphing Trigonometric Functions
- Order: Reorder
- Duration: 11:40
- Uploaded Date: 15 Jan 2018
- views: 188298
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they s...
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to understand if we have the unit circle memorized, so make sure you've watched that tutorial too, and then let's do this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
https://wn.com/Graphing_Trigonometric_Functions
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to understand if we have the unit circle memorized, so make sure you've watched that tutorial too, and then let's do this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
- published: 15 Jan 2018
- views: 188298
32:35
Trigonometry Concepts - Don't Memorize! Visualize!
- Order: Reorder
- Duration: 32:35
- Uploaded Date: 22 Apr 2019
- views: 2956881
A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and th...
A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and the Pythagorean Theorem.
UPDATE: I have posted a longer multi-part trig series! Please see the Introductory video here: https://youtu.be/U23JMdBIJ0M
The playlist is here: https://www.youtube.com/playlist?list=PLhSQQGbiWoTChZSbP-XcXH40IT7vfyyFk
Thanks for your patience!
Timestamps for this video:
00:00 Introduction
00:36 1. The Six Trigonometric Functions
09:35 2. Cartesian Coordinates and Quadrants
11:24 3. Angle Measurement in Degrees and Radians
19:34 4. The Pythagorean Theorem
20:44 5. The Unit Circle
International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class 11
https://wn.com/Trigonometry_Concepts_Don't_Memorize_Visualize
A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and the Pythagorean Theorem.
UPDATE: I have posted a longer multi-part trig series! Please see the Introductory video here: https://youtu.be/U23JMdBIJ0M
The playlist is here: https://www.youtube.com/playlist?list=PLhSQQGbiWoTChZSbP-XcXH40IT7vfyyFk
Thanks for your patience!
Timestamps for this video:
00:00 Introduction
00:36 1. The Six Trigonometric Functions
09:35 2. Cartesian Coordinates and Quadrants
11:24 3. Angle Measurement in Degrees and Radians
19:34 4. The Pythagorean Theorem
20:44 5. The Unit Circle
International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class 11
- published: 22 Apr 2019
- views: 2956881
22:37
How To Graph Trigonometric Functions | Trigonometry
- Order: Reorder
- Duration: 22:37
- Uploaded Date: 15 Apr 2021
- views: 441898
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, ampli...
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.
Get The Full 1 Hour 25 Minute Video on Patreon:
https://www.patreon.com/MathScienceTutor
Direct Link to The Full Video:
https://bit.ly/38wtIWU
___________________________
Full 1 Hour 25 Minute Video:
https://www.youtube.com/watch?v=fQPOBOFb2sY
Join The Membership Program:
https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/join
The full version explains how to graph secant, cosecant, tangent and cotangent functions.
https://wn.com/How_To_Graph_Trigonometric_Functions_|_Trigonometry
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.
Get The Full 1 Hour 25 Minute Video on Patreon:
https://www.patreon.com/MathScienceTutor
Direct Link to The Full Video:
https://bit.ly/38wtIWU
___________________________
Full 1 Hour 25 Minute Video:
https://www.youtube.com/watch?v=fQPOBOFb2sY
Join The Membership Program:
https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/join
The full version explains how to graph secant, cosecant, tangent and cotangent functions.
- published: 15 Apr 2021
- views: 441898
27:57
Trig Identities
- Order: Reorder
- Duration: 27:57
- Uploaded Date: 06 Apr 2023
- views: 775450
This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, eve...
This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
Trigonometry Formula Sheet: https://bit.ly/47diggI
_____________________________________________________________________________________________
Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles: https://www.youtube.com/watch?v=oxhXz9_uyiM
Radians and Degrees: https://www.youtube.com/watch?v=JmLN3QxshlE
What Exactly Is a Radian? https://www.youtube.com/watch?v=CHCWXAkozHM
Coterminal Angles: https://www.youtube.com/watch?v=RkMhGwp8pv4
Decimal Degrees to DMS: https://www.youtube.com/watch?v=W9kousU6AI0
Arc Length of a Circle and Sector Area: https://www.youtube.com/watch?v=C9z3FXS7nlo
Linear Speed and Angular Velocity: https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems: https://www.youtube.com/watch?v=LEHYr0XfSyI
The Unit Circle: https://www.youtube.com/watch?v=57VrEiEPD1I
______________________________________________________________________________________________
Reference Angles: https://www.youtube.com/watch?v=E-xFXpVo14o
The Six Trigonometric Functions: https://www.youtube.com/watch?v=WvoFgL4P_rw
How To Solve Right Triangles: https://www.youtube.com/watch?v=i3bjEOA5_zc
Reciprocal Identities: https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities: https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities: https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities: https://www.youtube.com/watch?v=TpADRvW8zm8
Trig Functions - Periodic Properties: https://www.youtube.com/watch?v=8Z60_yXX4xA
Trigonometry For Beginners: https://www.youtube.com/watch?v=PUB0TaZ7bhA
The Exact Value of Trig Functions: https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90: https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Right Triangles - 45 45 90: https://www.youtube.com/watch?v=xzMirNSv1d0
Cofunction Identities: https://www.youtube.com/watch?v=35fxto48HZY
______________________________________________________________________________________________
Angle of Elevation Problems: https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point: https://www.youtube.com/watch?v=P8rdY2ahkms
Exact Value of 5 Remaining Trig Functions: https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions - Reference Angles: https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions: https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine: https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions: https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle: https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle: https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems: https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems: https://www.youtube.com/watch?v=jyi5zW8mavs
Two Triangle Problems - More Examples: https://www.youtube.com/watch?v=QM1T6eL8t48
_____________________________________________________________________________________________
Verifying Trig Identities: https://www.youtube.com/watch?v=Rf05H8ogHLg
Trigonometry Final Exam Review: https://www.youtube.com/watch?v=OAsbx4TEnL0
https://wn.com/Trig_Identities
This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
Trigonometry Formula Sheet: https://bit.ly/47diggI
_____________________________________________________________________________________________
Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles: https://www.youtube.com/watch?v=oxhXz9_uyiM
Radians and Degrees: https://www.youtube.com/watch?v=JmLN3QxshlE
What Exactly Is a Radian? https://www.youtube.com/watch?v=CHCWXAkozHM
Coterminal Angles: https://www.youtube.com/watch?v=RkMhGwp8pv4
Decimal Degrees to DMS: https://www.youtube.com/watch?v=W9kousU6AI0
Arc Length of a Circle and Sector Area: https://www.youtube.com/watch?v=C9z3FXS7nlo
Linear Speed and Angular Velocity: https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems: https://www.youtube.com/watch?v=LEHYr0XfSyI
The Unit Circle: https://www.youtube.com/watch?v=57VrEiEPD1I
______________________________________________________________________________________________
Reference Angles: https://www.youtube.com/watch?v=E-xFXpVo14o
The Six Trigonometric Functions: https://www.youtube.com/watch?v=WvoFgL4P_rw
How To Solve Right Triangles: https://www.youtube.com/watch?v=i3bjEOA5_zc
Reciprocal Identities: https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities: https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities: https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities: https://www.youtube.com/watch?v=TpADRvW8zm8
Trig Functions - Periodic Properties: https://www.youtube.com/watch?v=8Z60_yXX4xA
Trigonometry For Beginners: https://www.youtube.com/watch?v=PUB0TaZ7bhA
The Exact Value of Trig Functions: https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90: https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Right Triangles - 45 45 90: https://www.youtube.com/watch?v=xzMirNSv1d0
Cofunction Identities: https://www.youtube.com/watch?v=35fxto48HZY
______________________________________________________________________________________________
Angle of Elevation Problems: https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point: https://www.youtube.com/watch?v=P8rdY2ahkms
Exact Value of 5 Remaining Trig Functions: https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions - Reference Angles: https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions: https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine: https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions: https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle: https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle: https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems: https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems: https://www.youtube.com/watch?v=jyi5zW8mavs
Two Triangle Problems - More Examples: https://www.youtube.com/watch?v=QM1T6eL8t48
_____________________________________________________________________________________________
Verifying Trig Identities: https://www.youtube.com/watch?v=Rf05H8ogHLg
Trigonometry Final Exam Review: https://www.youtube.com/watch?v=OAsbx4TEnL0
- published: 06 Apr 2023
- views: 775450
18:35
Graphing Sine and Cosine Trig Functions With Transformations, Phase Shifts, Period - Domain & Range
- Order: Reorder
- Duration: 18:35
- Uploaded Date: 22 Feb 2016
- views: 3010287
This trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase s...
This trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase shifts, period, and amplitude.
Trigonometry - Free Formula Sheet: https://bit.ly/47diggI
_______________________________
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry Formula Sheet:
https://bit.ly/47diggI
https://wn.com/Graphing_Sine_And_Cosine_Trig_Functions_With_Transformations,_Phase_Shifts,_Period_Domain_Range
This trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase shifts, period, and amplitude.
Trigonometry - Free Formula Sheet: https://bit.ly/47diggI
_______________________________
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry Formula Sheet:
https://bit.ly/47diggI
- published: 22 Feb 2016
- views: 3010287
7:18
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
Oh man, what is all this sine and cosine business? What do these things even mean?! And Gr...
published: 28 Dec 2017
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
Trigonometric Functions: Sine, Cosine, Tangent, Cosecant, Secant, and Cotangent
- Report rights infringement
- published: 28 Dec 2017
- views: 404247
Oh man, what is all this sine and cosine business? What do these things even mean?! And Greek letters now? I don't know Greek! OK friend, just relax. Understanding the trig functions is as easy as pi radians. We just make some triangles and set up a few definitions. I promise it's no sweat, just watch this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
4:15
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
In this video, we show a single diagram consisting of various triangles that connects the ...
published: 25 Aug 2023
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
Trig Visualized: One Diagram to Rule them All (six trig functions in one diagram)
- Report rights infringement
- published: 25 Aug 2023
- views: 393734
In this video, we show a single diagram consisting of various triangles that connects the six primary trig functions (sine, cosine, tangent, secant, cosecant, and cotangent) to lengths of line segments created from the unit circle (circle of radius 1). We use the diagram to explain features about why tangent and secant aren't defined at pi/2, the possible outputs of these six functions, and the Pythagorean trig identities. We also briefly discuss the fact that the "co" on three of the functions refer to the "complementary angle."
If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!
This animation is based on a classic diagram for describing the six main trig functions. If you want to know more trig identities, check out my playlist:
https://youtube.com/playlist?list=PLZh9gzIvXQUvc6SufrIpkVrVLdhcGthSy&si;=2IXs0Jx5j30_-spb
or check out this Wikipedia article:
https://en.wikipedia.org/wiki/List_of_trigonometric_identities
Here is an interactive version from Tien Chih using Desmos:
https://www.desmos.com/calculator/26ftp9is44
Here are alternate videos with the same diagram:
https://youtu.be/Dsf6ADwJ66E?si=1N8GEyBe3abyoan1
https://youtu.be/68Pi4RJ1Rnw?si=aTCeeGa73-R3eApe
#math #mathvideo #math #trigonometry #trigidentities #identity #triangle #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #circle #pythagoreantheorem #obtuseangle #acuteangle #angle #sine #cosine #tangent #secant #cosecant #cotangent #learnmaths
To learn more about animating with manim, check out:
https://manim.community
_______________
Music in this video:
Meditation Impromptu 02 by Kevin MacLeod is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/
Source: http://incompetech.com/music/royalty-free/index.html?isrc=USUAN1100162
Artist: http://incompetech.com/
2:02
The Six Trigonometric Functions, Basic Introduction, Trigonometry
This trigonometry video tutorial provides a basic introduction into the six trigonometric ...
published: 13 Oct 2017
The Six Trigonometric Functions, Basic Introduction, Trigonometry
The Six Trigonometric Functions, Basic Introduction, Trigonometry
- Report rights infringement
- published: 13 Oct 2017
- views: 259164
This trigonometry video tutorial provides a basic introduction into the six trigonometric functions such as sine, cosine, tangent, cotangent, secant, and cosecant. It provides the equations and formulas associated with these trigonometric functions as they relate to the unit circle.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
The Unit Circle:
https://www.youtube.com/watch?v=57VrEiEPD1I
How To Remember The Unit Circle Fast:
https://www.youtube.com/watch?v=gdJq1QunN-o
Reference Angles:
https://www.youtube.com/watch?v=E-xFXpVo14o
How To Solve Right Triangles:
https://www.youtube.com/watch?v=i3bjEOA5_zc
_____________________________
Reciprocal Identities:
https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities:
https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities:
https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities:
https://www.youtube.com/watch?v=TpADRvW8zm8
The Pythagorean Theorem:
https://www.youtube.com/watch?v=pbf4lcJhIfI
Trig Functions - Periodic Properties:
https://www.youtube.com/watch?v=8Z60_yXX4xA
________________________________
The Exact Value of Trig Functions:
https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90:
https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Patterns - Pythagorean Theorem:
https://www.youtube.com/watch?v=MeBcJPdjeI4
Cofunction Identities:
https://www.youtube.com/watch?v=35fxto48HZY
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Videos and Worksheets:
https://www.patreon.com/MathScienceTutor/collections
59:18
Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles
This trigonometry video tutorial explains how to evaluate trigonometric functions of any a...
published: 09 Nov 2016
Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles
Trigonometric Functions of Any Angle - Unit Circle, Radians, Degrees, Coterminal & Reference Angles
- Report rights infringement
- published: 09 Nov 2016
- views: 790209
This trigonometry video tutorial explains how to evaluate trigonometric functions of any angle such as acute angles or special angles. It shows you how to find and use reference angles and coterminal angles to accomplish such a task as well as converting between radians and degrees as needed. This video contains plenty of examples and practice problems.
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
21:52
Trigonometry For Beginners!
This math video tutorial provides a basic introduction into trigonometry. It covers trigo...
published: 25 Jul 2017
Trigonometry For Beginners!
Trigonometry For Beginners!
- Report rights infringement
- published: 25 Jul 2017
- views: 6481639
This math video tutorial provides a basic introduction into trigonometry. It covers trigonometric ratios such as sine, cosine, and tangent. It explains how to evaluate it using right triangle trigonometry and SOHCAHTOA. In addition, it explains how to solve the missing sides of triangles and how to find the missing angles using inverse trig functions. This video contains useful trigonometry lessons for beginners. it contains plenty of examples and practice problems.
Trigonometry Formula Sheet:
https://bit.ly/47diggI
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles:
https://www.youtube.com/watch?v=oxhXz9_uyiM
Linear Speed and Angular Velocity:
https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems:
https://www.youtube.com/watch?v=LEHYr0XfSyI
______________________________________
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluate Trig Functions - Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
____________________________________________
Verifying Trig Identities:
https://www.youtube.com/watch?v=Rf05H8ogHLg
Full Length Exam Videos + Worksheets:
https://bit.ly/4990rzU
Final Exams and Video Playlists:
https://www.video-tutor.net/
Trigonometry Formula Sheet:
https://bit.ly/47diggI
11:40
Graphing Trigonometric Functions
We love to graph functions, and now that we know about the trigonometric functions, let's ...
published: 15 Jan 2018
Graphing Trigonometric Functions
Graphing Trigonometric Functions
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- published: 15 Jan 2018
- views: 188298
We love to graph functions, and now that we know about the trigonometric functions, let's learn to graph those too! These are periodic functions, meaning they spit out the same values over and over and over, with a frequency that depends on the period of the function. This will be easy to understand if we have the unit circle memorized, so make sure you've watched that tutorial too, and then let's do this!
Watch the whole Mathematics playlist: http://bit.ly/ProfDaveMath
Classical Physics Tutorials: http://bit.ly/ProfDavePhysics1
Modern Physics Tutorials: http://bit.ly/ProfDavePhysics2
General Chemistry Tutorials: http://bit.ly/ProfDaveGenChem
Organic Chemistry Tutorials: http://bit.ly/ProfDaveOrgChem
Biochemistry Tutorials: http://bit.ly/ProfDaveBiochem
Biology Tutorials: http://bit.ly/ProfDaveBio
EMAIL► ProfessorDaveExplains@gmail.com
PATREON► http://patreon.com/ProfessorDaveExplains
Check out "Is This Wi-Fi Organic?", my book on disarming pseudoscience!
Amazon: https://amzn.to/2HtNpVH
Bookshop: https://bit.ly/39cKADM
Barnes and Noble: https://bit.ly/3pUjmrn
Book Depository: http://bit.ly/3aOVDlT
32:35
Trigonometry Concepts - Don't Memorize! Visualize!
A trigonometry introduction, overview and review including trig functions, cartesian quadr...
published: 22 Apr 2019
Trigonometry Concepts - Don't Memorize! Visualize!
Trigonometry Concepts - Don't Memorize! Visualize!
- Report rights infringement
- published: 22 Apr 2019
- views: 2956881
A trigonometry introduction, overview and review including trig functions, cartesian quadrants, angle measurement in degrees and radians, the Unit Circle and the Pythagorean Theorem.
UPDATE: I have posted a longer multi-part trig series! Please see the Introductory video here: https://youtu.be/U23JMdBIJ0M
The playlist is here: https://www.youtube.com/playlist?list=PLhSQQGbiWoTChZSbP-XcXH40IT7vfyyFk
Thanks for your patience!
Timestamps for this video:
00:00 Introduction
00:36 1. The Six Trigonometric Functions
09:35 2. Cartesian Coordinates and Quadrants
11:24 3. Angle Measurement in Degrees and Radians
19:34 4. The Pythagorean Theorem
20:44 5. The Unit Circle
International A level, Intl A Level, IAL, Edexcel, Pearson exam board, CIE, Cambridge exam board, P3, P2, Year 10, Class 11
22:37
How To Graph Trigonometric Functions | Trigonometry
This trigonometry video tutorial explains how to graph sine and cosine functions using tra...
published: 15 Apr 2021
How To Graph Trigonometric Functions | Trigonometry
How To Graph Trigonometric Functions | Trigonometry
- Report rights infringement
- published: 15 Apr 2021
- views: 441898
This trigonometry video tutorial explains how to graph sine and cosine functions using transformations, horizontal shifts / phase shifts, vertical shifts, amplitude, and the period of the sinusoidal function. This video contains many examples and practice problems on graphing trigonometric functions for you to master this topic.
Get The Full 1 Hour 25 Minute Video on Patreon:
https://www.patreon.com/MathScienceTutor
Direct Link to The Full Video:
https://bit.ly/38wtIWU
___________________________
Full 1 Hour 25 Minute Video:
https://www.youtube.com/watch?v=fQPOBOFb2sY
Join The Membership Program:
https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA/join
The full version explains how to graph secant, cosecant, tangent and cotangent functions.
27:57
Trig Identities
This trigonometry video tutorial discusses common trig identities and formulas such as the...
published: 06 Apr 2023
Trig Identities
Trig Identities
- Report rights infringement
- published: 06 Apr 2023
- views: 775450
This trigonometry video tutorial discusses common trig identities and formulas such as the pythagorean identites, reciprocal identites, quotient identities, even odd identities, cofunction identities, double angle formulas, half angle formulas, sum and difference identities, power reducing formlas, product to sum identities, and sum to product identities.
Access Full-Length Premium Videos: https://www.patreon.com/MathScienceTutor
Trigonometry Formula Sheet: https://bit.ly/47diggI
_____________________________________________________________________________________________
Trigonometry - Basic Introduction: https://www.youtube.com/watch?v=g8VCHoSk5_o
Introduction to Angles: https://www.youtube.com/watch?v=oxhXz9_uyiM
Radians and Degrees: https://www.youtube.com/watch?v=JmLN3QxshlE
What Exactly Is a Radian? https://www.youtube.com/watch?v=CHCWXAkozHM
Coterminal Angles: https://www.youtube.com/watch?v=RkMhGwp8pv4
Decimal Degrees to DMS: https://www.youtube.com/watch?v=W9kousU6AI0
Arc Length of a Circle and Sector Area: https://www.youtube.com/watch?v=C9z3FXS7nlo
Linear Speed and Angular Velocity: https://www.youtube.com/watch?v=FgTvlGm9jgE
Clock to Angle Problems: https://www.youtube.com/watch?v=LEHYr0XfSyI
The Unit Circle: https://www.youtube.com/watch?v=57VrEiEPD1I
______________________________________________________________________________________________
Reference Angles: https://www.youtube.com/watch?v=E-xFXpVo14o
The Six Trigonometric Functions: https://www.youtube.com/watch?v=WvoFgL4P_rw
How To Solve Right Triangles: https://www.youtube.com/watch?v=i3bjEOA5_zc
Reciprocal Identities: https://www.youtube.com/watch?v=UeuuFqbTYgA
Quotient Identities: https://www.youtube.com/watch?v=7PVKbyLFY5U
Even and Odd Trigonometric Identities: https://www.youtube.com/watch?v=5p8hokJ3Cqo
Pythagorean Identities: https://www.youtube.com/watch?v=TpADRvW8zm8
Trig Functions - Periodic Properties: https://www.youtube.com/watch?v=8Z60_yXX4xA
Trigonometry For Beginners: https://www.youtube.com/watch?v=PUB0TaZ7bhA
The Exact Value of Trig Functions: https://www.youtube.com/watch?v=bTdjcvm6pPo
Special Right Triangles - 30 60 90: https://www.youtube.com/watch?v=p70UBGCHZrQ
Special Right Triangles - 45 45 90: https://www.youtube.com/watch?v=xzMirNSv1d0
Cofunction Identities: https://www.youtube.com/watch?v=35fxto48HZY
______________________________________________________________________________________________
Angle of Elevation Problems: https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point: https://www.youtube.com/watch?v=P8rdY2ahkms
Exact Value of 5 Remaining Trig Functions: https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions - Reference Angles: https://www.youtube.com/watch?v=V8LEHEzdU2U
How To Graph Trig Functions: https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine: https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions: https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle: https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle: https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems: https://www.youtube.com/watch?v=OTP885mApV8
Bearings Vs Direction - Word Problems: https://www.youtube.com/watch?v=jyi5zW8mavs
Two Triangle Problems - More Examples: https://www.youtube.com/watch?v=QM1T6eL8t48
_____________________________________________________________________________________________
Verifying Trig Identities: https://www.youtube.com/watch?v=Rf05H8ogHLg
Trigonometry Final Exam Review: https://www.youtube.com/watch?v=OAsbx4TEnL0
18:35
Graphing Sine and Cosine Trig Functions With Transformations, Phase Shifts, Period - Domain & Range
This trigonometry and precalculus video tutorial shows you how to graph trigonometric func...
published: 22 Feb 2016
Graphing Sine and Cosine Trig Functions With Transformations, Phase Shifts, Period - Domain & Range
Graphing Sine and Cosine Trig Functions With Transformations, Phase Shifts, Period - Domain & Range
- Report rights infringement
- published: 22 Feb 2016
- views: 3010287
This trigonometry and precalculus video tutorial shows you how to graph trigonometric functions such as sine and cosine functions using transformations, phase shifts, period, and amplitude.
Trigonometry - Free Formula Sheet: https://bit.ly/47diggI
_______________________________
Trigonometry - Basic Introduction:
https://www.youtube.com/watch?v=g8VCHoSk5_o
Angle of Elevation Problems:
https://www.youtube.com/watch?v=uyKvSe6Ltgs
Evaluating Trig Functions Given a Point:
https://www.youtube.com/watch?v=P8rdY2ahkms
A Simple Way to Remember Trig Values:
https://www.youtube.com/watch?v=YDuPdLL9GGo
Exact Value of 5 Remaining Trig Functions:
https://www.youtube.com/watch?v=H7GwDntpGUY
Evaluate Trig Functions Using Reference Angles:
https://www.youtube.com/watch?v=V8LEHEzdU2U
______________________________
How To Graph Trig Functions:
https://www.youtube.com/watch?v=fo_q9mEAFp4
How To Graph Sine and Cosine:
https://www.youtube.com/watch?v=bm8oYKKlCXI
Evaluating Inverse Trig Functions:
https://www.youtube.com/watch?v=jt7p-mCC0ng
Finding The Missing Side of a Triangle:
https://www.youtube.com/watch?v=tielQ3ejh70
Finding The Missing Angle of a Triangle:
https://www.youtube.com/watch?v=4Dv5IFqATrc
Two Triangle Trigonometry Problems:
https://www.youtube.com/watch?v=OTP885mApV8
_________________________________
Bearings Vs Direction - Word Problems:
https://www.youtube.com/watch?v=jyi5zW8mavs
Bearing Problems and Navigation:
https://www.youtube.com/watch?v=cSKAqfGXOPI
Two Triangle Problems - More Examples:
https://www.youtube.com/watch?v=QM1T6eL8t48
Trigonometry Final Exam Review:
https://www.youtube.com/watch?v=OAsbx4TEnL0
Final Exams and Video Playlists:
https://www.video-tutor.net/
Full-Length Math & Science Videos:
https://www.patreon.com/mathsciencetutor/collections
Trigonometry Formula Sheet:
https://bit.ly/47diggI
Trigonometric functions
In mathematics, the trigonometric functions (also called the circular functions) are functions of an angle. They relate the angles of a triangle to the lengths of its sides. Trigonometric functions are important in the study of triangles and modeling periodic phenomena, among many other applications.
The most familiar trigonometric functions are the sine, cosine, and tangent. In the context of the standard unit circle (a circle with radius 1 unit), where a triangle is formed by a ray originating at the origin and making some angle with the x-axis, the sine of the angle gives the length of the y-component (the opposite to the angle or the rise) of the triangle, the cosine gives the length of the x-component (the adjacent of the angle or the run), and the tangent function gives the slope (y-component divided by the x-component). More precise definitions are detailed below. Trigonometric functions are commonly defined as ratios of two sides of a right triangle containing the angle, and can equivalently be defined as the lengths of various line segments from a unit circle. More modern definitions express them as infinite series or as solutions of certain differential equations, allowing their extension to arbitrary positive and negative values and even to complex numbers.
This page contains text from Wikipedia, the Free Encyclopedia - https://wn.com/Trigonometric_functions
Trigonometric Functions: Sine, Cosine, Tangent, Co...
Trig Visualized: One Diagram to Rule them All (six...
The Six Trigonometric Functions, Basic Introductio...
Trigonometric Functions of Any Angle - Unit Circle...
Trigonometry For Beginners!...
Graphing Trigonometric Functions...
Trigonometry Concepts - Don't Memorize! Visualize!...
How To Graph Trigonometric Functions | Trigonometr...
Trig Identities...
