SOLUTION: write the expression as sine, cosine or tangent of a single angle. cos(pi )/(6)cos(pi )/(7)-sin(pi )/(6)sin(pi )/(7)

Algebra ->  Trigonometry-basics -> SOLUTION: write the expression as sine, cosine or tangent of a single angle. cos(pi )/(6)cos(pi )/(7)-sin(pi )/(6)sin(pi )/(7)      Log On


   



Question 1071448: write the expression as sine, cosine or tangent of a single angle.
cos(pi )/(6)cos(pi )/(7)-sin(pi )/(6)sin(pi )/(7)

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
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write the expression as sine, cosine or tangent of a single angle.
cos(pi )/(6)cos(pi )/(7)-sin(pi )/(6)sin(pi )/(7)
~~~~~~~~~~~~~~~~~~~`

Apply the formula of sum for cosine:

cos(a)*cos(b) - sin(a)*sin(b) = cos(a+b).



    See the lesson   Addition and subtraction formulas  in this site.



You will get 

cos%28pi%2F6%29%2Acos%28pi%2F7%29%29+-+sin%28pi%2F6%29%2Asin%28pi%2F7%29 = cos%28pi%2F6+%2B+pi%2F7%29 = cos%287pi%2F42+%2B+6pi%2F42%29 = cos%2813pi%2F42%29.

Solved.