If `cosectheta + cottheta=p`, then prove that the `cos theta=(p^2-1)/(p^2+1)`

Explanation

To prove that if \( \csc \theta + \cot \theta = p \), then \( \cos \theta = \frac{p^2 - 1}{p^2 + 1} \), we will follow these steps:

### Step 1: Rewrite the given equation
We start with the equation:
\[ \csc \theta + \cot \theta = p \]
We can rewrite \( \csc \theta \) and \( \cot \theta \) in terms of sine and cosine:
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