Fundamental Trigonometric Identities
54 min 12 Examples
- Introduction to Video: Fundamental Identities
- Overview of the Fundamental Identities and Introduce Pythagorean Identities
- Examples #1-12: Simplify using the Fundamental Identities
Steps for Verifying Trig Identities
60 min 10 Examples
- Introduction to Video: Steps for Proving/Verifying Trig Identities
- Steps and Tricks for Proving/Verifying Trig Identities
- Examples #1-5: Simplify using Multiplication and/or Factoring
- Examples #6-8: Simplify by getting Common Denominators
- Examples #9-10: Simplify using the Conjugate
Proving Trig Identities
1 hr 32 min 15 Examples
- Introduction to Video: Proving/Verifying Trigonometric Identities
- Review of Steps and Tricks for Proving/Verifying Trigonometric Identities
- Examples #1-15: Prove/Verify the Trigonometric Identity
Sum and Difference Identities
1 hr 08 min 10 Examples
- Intro to Video: Sum and Difference Identities
- Overview of the Sum and Difference Identities and Important Concepts
- Example: Evaluate using a Sum and a Difference Identity
- Two Examples: Evaluate using a Sum or Difference Identity
- Three Examples: How to Express each as a Function of Theta
- Three Examples: Prove/Verify using Sum and Difference Identities
Double Angle Identities
1 hr 36 min 16 Examples
- Intro to Video: Double-Angle Identities
- Overview of the Double-Angle Identities
- Six Examples: Simplifying using Double Angle Identities
- Two Examples: Evaluate using a Double Angle Identity
- Quick Review of ALL our Trig Identities so far
- Examples #1-8 Prove/Verify using Double-Angle Identities
Half Angle Identities
1 hr 27 min 8 Examples
- Intro to Video: Half-Angle Identities
- Overview of the Half-Angle Identities with an Example
- Two Examples: Evaluate using a Half-Angle Identity
- Examples #1-3: Prove/Verify using Half-Angle Identities
- Example #4: Prove/Verify using Half-Angle Identities – when to work on both sides of equation
- Examples #5-6: Prove/Verify using Sum and Difference Identities
Product-Sum Identities
1 hr 05 min 12 Examples
- Intro to Video: Product-Sum Identities
- Overview of the Product-Sum Identities with an Example
- Two Examples: Express as a Sum
- Two Examples: Express as a Product
- Example: Express as a Product
- Two Examples: Prove/Verify using Product-Sum Identities
- Alternate Form for the Product-Sum Identities with an Example
- Two Examples: Express as a Product using the Alternate Form
- Example: Prove/Verify using the Alternate From of Product-Sum Identities
Chapter Test
1 hr 30 min 19 Examples
- Examples #1-3: Evaluate using a trig identity
- Examples #4-5: Evaluate using a sum or difference identity
- Examples #6-7: Evaluate using a half-angle or double-angle identity
- Examples #8-9: Evaluate using a half-angle or sum-product identity
- Examples #10-19: Prove/verify each identity