Sum and Difference Formulas

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Presentation transcript:

Sum and Difference Formulas Section 5.4 Sum and Difference Formulas

Objective By following instructions students will be able to: Use sum and difference formulas to evaluate trigonometric functions. Use the sum and difference formulas to verify identities and solve trigonometric equations.

Sum and Difference Formulas

Example 1: Evaluating a Trigonometric Function Find the exact value of .

Example 2: Evaluating Trigonometric Functions Find the exact value of .

Example 3: Evaluating a Trigonometric Expression Find the exact value of given that , where and , where

Example 4: An Application of a Sum Formula Evaluate .

Example 5: Proving a Cofunction Identity Prove the cofunction identity .

Example 6: Deriving Reduction Formulas Simplify each expression. a) b)

Example 7: An Application from Calculus Verify that where .

Example 8: Solving a Trigonometric Equation Find all solutions of in the interval .

Revisit Objective Did we… Use sum and difference formulas to evaluate trigonometric functions? Use the sum and difference formulas to verify identities and solve trigonometric equations?

Homework Pg 408 #1-27 ODD, 35-49 ODD