Prove that the maximum value of the functions `sin^p thetacos^q` is at `theta=tan^-1(sqrt(p/q)

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The function f(x)=sin^p⁡θ cos^q⁡θ attains a maximum value when: The function f(x)=sin^p⁡θ cos^q⁡θ attains a maximum value when:
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