If `cottheta=15/8`, then Evaluate `((2+2sintheta)(1-sintheta))/((1+costheta)(2-2costheta))`

Explanation

To solve the expression \(\frac{(2 + 2\sin\theta)(1 - \sin\theta)}{(1 + \cos\theta)(2 - 2\cos\theta)}\) given that \(\cot\theta = \frac{15}{8}\), we can follow these steps:

### Step 1: Find \(\sin\theta\) and \(\cos\theta\)

Given \(\cot\theta = \frac{15}{8}\), we know that:

\[
\cot\theta = \frac{\cos\theta}{\sin\theta}
...