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Establish Identities
Find Exact value of Expressions
Establish the identity
 2cos sin
   
2 2cos cos sin sin 
  
   0 cos 1 sin  
sin sin   
Establish the identity
 sin sin   
sin cos cos sin    
   0 cos 1 sin   
sin sin 
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
...
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
...
p. 482
# 39, 42, 45, 50, 51, 53, 62, 65 - 72
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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. 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
  5. 5. 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
  6. 6. p. 482 # 39, 42, 45, 50, 51, 53, 62, 65 - 72

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