Show that `sin^p\ theta\ cos^q\ theta` attains a maximum, when `theta=tan^(-1)sqrt(p/q)` .

Explanation

To show that \( y = \sin^p \theta \cos^q \theta \) attains a maximum when \( \theta = \tan^{-1} \sqrt{\frac{p}{q}} \), we will follow these steps:

### Step 1: Define the function
Let
\[ y = \sin^p \theta \cos^q \theta \]

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