8.3 Trigonometric Identities (Part 1) www.hiboox.com

Objectives Solve trigonometric integrals involving powers of sine and cosine. Solve trigonometric integrals involving sine-cosine products with different angles.

Example 1: sin: power odd and positive (rule #1)

(Look at guidelines at the bottom of page 536.) Evaluating Integrals of the Form (Look at guidelines at the bottom of page 536.) If power of sine is odd and positive: Save one sine factor and convert remaining factors to cosine. Use If power of cosine is odd and positive: Save one cosine factor and convert remaining factors to sine. If both sine and cosine are even and nonnegative:

Example 2: cos: power odd and positive (rule #2)

Example 3: sin and cos: even and positive (rule #3)

Homework 8.3 (page 542) #5 – 17 odd