Chapter 9

The links below will take you to videos and exercises relating to the content in

Chapter 9: TRIGONOMETRIC IDENTITIES AND EQUATIONS

9.1 TRIGONOMETRIC IDENTITIES

Trigonometric Identities (KhanAcademy.org)

Fundamental Trig Identities: Reciprocal, Quotient and Pythagorean (bullcleo1)

9.2 and 9.3: SUM AND DIFFERENCE, DOUBLE-ANGLE, PRODUCT-TO-SUM,

SUM-TO-PRODUCT AND HALF-ANGLE IDENTITIES

Here are two sequences of videos about these topics

Videos by PatrickJMT

Identities for Sum and Difference of Sine and Cosine, Example 1

Identities for Sum and Difference of Sine and Cosine, Example 2

Identities for Sum and Difference of Sine and Cosine, Example 3

Sum and Difference Identities for Sine and Cosine, More Examples 1

Sum and Difference Identities for Sine and Cosine, More Examples 2

Using Sum and Difference Identities for Sine, Cosine and Tangent, Ex. 1

For more on tangent sum and difference identities, use these two links for bullcleo1 videos:

Sum and Difference Identities for Tangent

Using Sum and Difference Identity to Determine a Tangent

Using Double Angle Identities to Solve Equations , ex. 1

Using Double Angle Identities to Solve Equations , ex. 2

Using Double Angle Identities to Solve Equations , ex. 3

For these identities, use this link for the bullcleo1 video:

Product to Sum and Sum to Product Identities

Half Angle Identities to Evaluate Trig Expressions, ex 1

Half Angle Identities to Evaluate Trig Expressions, ex 2

Half Angle Identities to Evaluate Trig Expressions, ex 3

Videos by BULLCLEO1

Sum and Difference Identities for Cosine

Using Sum and Difference Identity to Determine a Cosine

Sum and Difference Identities for Sine

Using Sum and Difference Identity to Determine a Sine

Sum and Difference Identities for Tangent

Using Sum and Difference Identity to Determine a Tangent

Double Angle Identities

Simplify & Evaluate a Trig Expression Using a Double Angle Identity

Half Angle Identities

9.4 THE INVERSE CIRCULAR FUNCTIONS

The following videos are all by bullcleo1

Intro to Inverse Trigonometric Functions

Intro to the Inverse Functions of Sine, Cosine, and Tangent

Evaluating Expressions & Solving Problems Using Inverse Sine, Cosine, & Tangent

Ex: Evaluate Inverse Trig Expressions (Part 1)

Ex: Evaluate Inverse Trig Expressions (Part 2)

Ex: Evaluate Inverse Trig Expressions (Part 3)

Ex: Evaluate Expression Involving Inverse Trig Functions (Part 1)

Ex: Evaluate Expression Involving Inverse Trig Functions (Part 2)

Intro to the Inverse Functions of Cosecant, Secant, and Cotangent

Evaluating Expressions Involving Inverse Cosecant, Secant, and Cotangent

Ex: Evaluate arccot(-3.6) Using a Calculator

Ex 1: Evaluate tan(arcsin(-12/13))

Ex 2: Evaluate sin(arctan(-7))

Ex 3: Evaluate sin(arctan(u/3))

9.5 and 9.6 TRIGONOMETRIC EQUATIONS AND INEQUALITIES

Solving a Basic Trigonometric Equation, Example 1 (PatrickJMT)

Solving a Basic Trigonometric Equation, Example 2 (PatrickJMT)

Solving a Basic Trigonometric Equation, Example 3 (PatrickJMT)

Solving a Trigonometric Equation Using Factoring (bullcleo1)

Solving a Trigonometric Equation Using a Trig Substitution and Factoring (bullcleo1)

Solving a Trigonometric Equation by Factoring, Example 1 (PatrickJMT)

Solving a Trigonometric Equation by Factoring, Example 2 (PatrickJMT)

Solving Trig Equations Using the Quadratic Formula, example 1 (PatrickJMT)

Solving Trig Equations Using the Quadratic Formula, example 2 (PatrickJMT)

Solving Trig Equations Using the Quadratic Formula, example 3 (PatrickJMT)

Example 1: Solve a Trig Equation Using the Calculator (bullcleo1)

Example 2: Solve a Trig Equation Using the Calculator (bullcleo1)