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In Units 2, 3 and 5, we studied the graphical and geometric properties of trigonometric functions. In this unit we study algebraic properties of these functions, that is, simplifying and factoring expressions and solving equations that involve trigonometric functions.
We have used the trigonometric functions to model different real-world phenomena, including periodic motion (such as the motion of an ocean wave). To obtain information from a model, we often need to solve equations. If the model involves trigonometric functions, we need to solve trigonometric equations. Solving trigonometric equations often involves using trigonometric identities. We've already encountered some basic trigonometric identities in the preceding chapters. We begin this chapter by finding many new identities.
Lesson 6.2: Fundamental Trig Identities
Lesson 6.3: Pythagorean Identities
Lesson 6.4: Advanced Trig Simplification Part 1
Lesson 6.5:Advanced Trig Simplification Part 2
Lesson 6.7: Even/Odd Function and Cofunctions
Lesson 6.8: Sum and Difference Identities
Lesson 6.9: Double and Half Angles
Lesson 6.10 & 6.11: Trig Equations
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