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6.4 Product / Sum Identities

6.4 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.

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6.4 Product / Sum Identities

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  1. 6.4 Product / Sum Identities

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

  3. Alternate Form

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

  5. 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)

  6. Try with a partner!! Ex 3) Prove:

  7. Homework • 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) #603 Pg 309 #1–17 odd, 21–23, 25–27, 38, 40, 44, 45 use the alternate form of product/sum identities

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