Chapter 7: Trigonometric Identities and Equations
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Course: MATH 142 (Precalculus II)
Overview
Trigonometric identities are essential tools for simplifying expressions and solving equations. These skills are heavily used in calculus for integration techniques.
Source Material: OpenStax Precalculus Chapter 7 (CC BY 4.0)
Sections
| Section | Topic | Skills |
|---|---|---|
| 7.1 | Solving Trigonometric Equations with Identities | Pythagorean, reciprocal, quotient identities |
| 7.2 | Sum and Difference Identities | $\sin(A \pm B)$, $\cos(A \pm B)$ |
| 7.3 | Double-Angle, Half-Angle, and Reduction Formulas | $\sin(2\theta)$, $\cos^2\theta$ formulas |
| 7.4 | Sum-to-Product and Product-to-Sum Formulas | Converting between forms |
| 7.5 | Solving Trigonometric Equations | General solutions, inverse functions |
| 7.6 | Modeling with Trigonometric Functions | Sinusoidal models |
Skills in This Chapter
What This Unlocks
Mastering trigonometric identities prepares you for:
- Chapter 8: Applications of trigonometry
- Stewart 7.2: Trigonometric integrals
- Stewart 7.3: Trigonometric substitution
- Stewart 11.10: Taylor series for trig functions
| Previous | Up | Next |
|---|---|---|
| Chapter 6 | Precalculus | Chapter 8 |