SOLUTION: whats the exact value of cos 15

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Question 730412: whats the exact value of cos 15

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
15° is the difference between the two special angles 45° and 30°

We use the formula

cos(A-B) = cos(A)cos(B) + sin(A)sin(B)

where A = 45° and B = 30°  

cos(15°) = 

cos(45°-30°) = cos(45°)cos(30°) + sin(45°)sin(30°) = 

%28sqrt%282%29%2F2%29%28sqrt%283%29%2F2%29 + %28sqrt%282%29%2F2%29%281%2F2%29 = 

sqrt%286%29%2F4 + sqrt%282%29%2F4 = 

%28sqrt%286%29%2Bsqrt%282%29%29%2F4

Edwin