SOLUTION: find the exact value cos(n/6)cos(n/12)-sinx(n/6)sin(n/12)

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Question 1105168: find the exact value
cos(n/6)cos(n/12)-sinx(n/6)sin(n/12)

Answer by ikleyn(52786) About Me  (Show Source):
You can put this solution on YOUR website!
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find the exact value cos(n/6)cos(n/12)-sinx(n/6)sin(n/12)
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  cos(n/6)cos(n/12)-sinx(n/6)sin(n/12) = apply the addition formula for cosine =


= cos%28n%2F6%2Bn%2F12%29 = cos%28%282n%29%2F12+%2B+n%2F12%29 = cos%28%283n%29%2F12%29 = cos%28n%2F4%29. 


Next,  I assume that "n" is actually "pi" = pi   (n is a way how the author of the post writes pi )  and then  


cos%28n%2F4%29 = cos%28pi%2F4%29 = sqrt%282%29%2F2.