Chapter 8
The links below will take you to videos and exercises relating to the content in
Chapter 8: TRIGONOMETRIC FUNCTIONS AND APPLICATIONS
8.1 ANGLES AND ARCS
Introduction to Trigonometry - Angles & Arcs (TozzoMath)
Coterminal Angles - Example 1 (PatrickJMT)
Coterminal Angles - Example 2 (PatrickJMT)
Coterminal Angles - Example 3 (PatrickJMT)
Radians (TozzoMath)
Degrees and Radians and Converting Between Them, Example 1 (PatrickJMT)
Degrees and Radians and Converting Between Them, Example 2 (PatrickJMT)
How to Convert Radians to Degrees (TucsonMathDoc)
Arc Length - Sector Area (kohead1966)
How to Find Arc Length (TucsonMathDoc)
Area of a Sector (BabelMath)
Area of a Sector Using Proportions (BabelMath)
Area of a Sector (BrightStorm)
Angular and Linear Velocity (kohead1966)
Angular and Linear Speed (TucsonMathDoc)
8.2 THE UNIT CIRCLE
A Trick to Remember Values on the Unit Circle (PatrickJMT)
A Way to Remember the Entire Unit Circle (PatrickJMT)
The Unit Circle (TozzoMath)
Here is a link to a printable version of the unit circle: Unit Circle
8.3 and 8.4 GRAPHS OF THE CIRCULAR FUNCTIONS
Identification of Periodic Functions (TenMarksInstructor)
Here are two sequences of videos about graphing trigonometric functions.
They both cover basically the same information.
Videos by PatrickJMT
Graphing the Trigonometric Functions
Graphing Sine and Cosine Functions: Amplitude and Period
Graphing Sine and Cosine Functions with Phase (Horizontal) Shifts 1
Graphing Sine and Cosine Functions with Phase (Horizontal) Shifts 2
Graphing Tangent, Secant, Cosecant, and Cotangent Functions, part 1
Graphing Tangent, Secant, Cosecant, and Cotangent Functions, part 2
Graphing Tangent, Secant, Cosecant, and Cotangent Functions, part 3
Graphing Tangent, Secant, Cosecant, and Cotangent Functions, part 4
Videos by bullcleo1
Graphing the Sine Function Using the Unit Circle
Graphing the Sine and Cosine Functions
Amplitude and Period of Sine and Cosine
Horizontal and Vertical Translations of Sine and Cosine
Graphing Sine and Cosine with Transformations
Graphing the Cotangent Function
8.5 FUNCTIONS OF ANGLES AND FUNDAMENTAL IDENTITIES
Quadrantal Angles (derekowens)
Values of Quadrantal Angles (densmath)
Basic Trig Identities (AHSMESA)
Basic Trig Identities (dyagodich)
Signs of Trig Functions (densmath)
Signs of Trig Functions in 4 Quadrants (dyagodich)
Find Function Values Given Quadrant and One Function (densmath)
8.6 EVALUATING TRIGONOMETRIC FUNCTIONS
Introduction to Basic Trig Functions (dyagodich)
Remembering the Six Trigonometric Functions (RealGaryBall)
Evaluating Trigonometric Functions at Important Angles, ex 1 (PatrickJMT)
Evaluating Trigonometric Functions at Important Angles, ex 2 (PatrickJMT)
Cofunctions (dyagodich)
Find Reference Angle (densmath)
Reference Angle for an Angle (Using Degrees) (PatrickJMT)
Reference Angle for an Angle (Using Radians) (PatrickJMT)
Evaluating Trigonometric Functions Using Reference Angles, ex 1 (PatrickJMT)
Evaluating Trigonometric Functions Using Reference Angles, ex 2 (PatrickJMT)
Determining Trigonometric Function Values on the Calculator (bullcleo1)
TI-83 Inverse Trigonometric Functions (TIGraphingCalculator)
Inverse Trig Functions - Application (davidtutorsmath)
8.7 APPLICATIONS OF RIGHT TRIANGLES
Solve Right Triangles (densmath)
Classify Angles of Elevation and Depression (tenmarksinstructor)
Find Distance Using Angle of Elevation (tenmarksinstructor)
Determine the Height of an Object Using Trig (bullcleo1)
Bearing - First Method (EricOlson6564)
Bearings - Second Method (kopsasd)