Asked by Nipun

find maximum value of 4(sinx+acosx)(sinx+bcosx) - (a+b)^2

Answers

Answered by oobleck
If a and b are constants, then the max occurs where the derivative is zero.
That is where tan(2x) = (a+b)/(ab-1)
I guess you can find some values of a and b where that is easy, or express sinx and cosx for such an angle.
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