SOLUTION: Let f(x) = 13 + 6sin(x) - 9(cosx)^2. What is the maximum value of this function?

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Question 1199965: Let f(x) = 13 + 6sin(x) - 9(cosx)^2. What is the maximum value of this function?
Answer by ikleyn(52814) About Me  (Show Source):
You can put this solution on YOUR website!
.

The maximum is reached when   cos(x) = 0  and  sin(x) = 1.

It happens at   x = pi%2F2.

The value of the maximum is   13 + 6*1 - 9*0 = 13 + 6 = 19.         ANSWER

Solved.

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My statements are obviously true even without any calculations/transformations.