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# 6.4.3 sum and difference formulas

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### 6.4.3 sum and difference formulas

1. 1. Establish Identities Find Exact value of Expressions
2. 2. Establish the identity  2cos sin     2 2cos cos sin sin        0 cos 1 sin   sin sin   
3. 3. Establish the identity  sin sin    sin cos cos sin        0 cos 1 sin    sin sin 
4. 4. Establish the identity     2 2 sin sin sin sin           sin cos cos sin sin cos cos sin          2 2 2 2 sin cos cos sin        2 2 2 2 sin 1 sin 1 sin sin        2 2 2 2 2 2 sin sin sin sin sin sin         2 2 2 2 sin sin sin sin     
5. 5. Find the exact value of the expression  1 13 12 5 5sin sin tan   1 3 5sin    1 12 5tan     3 5 4 12 5 13  sin   sin cos cos sin          3 5 4 12 5 13 5 13   15 48 65 65   33 65
6. 6. Find the exact value of the expression  1 1 54 5 12cos sin tan    1 4 5sin   1 5 12tan     45 3  5 12 13  cos   cos cos sin sin          3 512 4 5 13 5 13   36 20 65 65  16 65
7. 7. p. 482 # 39, 42, 45, 50, 51, 53, 62, 65 - 72