Find `(dy)/(dx)` , when `x=a(1-costheta)` and `y=a(theta+sintheta)` at `theta=pi/2`

Explanation

To find \(\frac{dy}{dx}\) when \(x = a(1 - \cos \theta)\) and \(y = a(\theta + \sin \theta)\) at \(\theta = \frac{\pi}{2}\), we will follow these steps:

### Step 1: Differentiate \(x\) with respect to \(\theta\)

Given:
\[ x = a(1 - \cos \theta) \]
...