Find `(dy)/(dx)`, if `x=a(theta+sintheta), y=1(1-costheta)`.

Explanation

To find \(\frac{dy}{dx}\) given the equations \(x = a(\theta + \sin \theta)\) and \(y = 1(1 - \cos \theta)\), we will use the chain rule for differentiation. Here are the steps:

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

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