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

Explanation

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

### Step 1: Differentiate \(y\) with respect to \(\theta\)
We start by differentiating \(y\) with respect to \(\theta\):
\[ y = a(1 - \cos \theta) \]
Differentiating \(y\):
...