Objective: Use power-reducing and half angle identities.

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Presentation transcript:

Objective: Use power-reducing and half angle identities. Warm up Double angle identity for cosine: Write in terms of cosine only. b. Write in terms of sine only.

Example 1 Derive a power reducing identity for cosine. b. Derive a power reducing identity for sine. c. Derive a power reducing identity for tangent.

Example 2 Rewrite the expression in terms with no power greater than 1 Example 2 Rewrite the expression in terms with no power greater than 1. a.

b.

Proof: Unit Circle

Example 3 Use half angle identities to find the exact value. a. b. c.

Assignment Pg 614 # 35-48.