SOLUTION: Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle. 1 - cos 152° / sin 98°cos 54° + cos 98°sin 54°

Algebra ->  Trigonometry-basics -> SOLUTION: Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle. 1 - cos 152° / sin 98°cos 54° + cos 98°sin 54°      Log On


   

Question 1205811: Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle.
1 - cos 152° / sin 98°cos 54° + cos 98°sin 54°
Answer by ikleyn(53937) About Me  (Show Source):
You can put this solution on YOUR website!
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Rewrite each expression as a function of a single angle. You do not need to solve for the function at that angle.

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Use the formula of addition arguments for sine function

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


and get

   = %281-cos%28152%5Eo%29%29%2Fsin%2898%5Eo%2B54%5Eo%29 = %281-cos%28152%5Eo%29%29%2Fsin%28152%5Eo%29.  ANSWER


The last expression is what you want to get.

Solved.