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
Simplify & Evaluate a Trig Expression Using a Double Angle Identity
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)