6.4 Product / Sum Identities

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Presentation transcript:

6.4 Product / Sum Identities

Product / Sum Identities Product / Sum Identities have 2 forms! - They can be derived by adding or subtracting the sum or difference identities. Product / Sum Identities

Alternate Form

Ex 1) Express the product as a sum or difference.

Ex 2) Express the sum as a product. what happened to the (–) ? cos is even cos (–x) = cos (x) and just in case … sin is odd sin (–x) = – sin (x)

Try with a partner!! Ex 3) Prove:

Homework #603 Pg 309 #1–17 odd, 21–23, 25–27, 38, 40, 44, 45 HW Hints & Even Answers: 21 & 22: eqtn you need is in paragraph above question – read!! 22: 15.9° 26 & 27: (proof  - start on RHS & use identities from section 6-1) 38: 40: 44 & 45: (proof  - start on LHS and use fact that you can divide both sides of identity by 2) use the alternate form of product/sum identities