`"Find "(dy)/(dx) if x =a(theta- sin theta) and y= a (1- cos theta).`

Explanation

To find \(\frac{dy}{dx}\) given the equations \(x = a(\theta - \sin \theta)\) and \(y = a(1 - \cos \theta)\), we will follow these steps:

### Step 1: Differentiate \(x\) with respect to \(\theta\)
We start by differentiating \(x\):
\[ \frac{dx}{d\theta} = a\left(\frac{d}{d\theta}(\theta) - \frac{d}{d\theta}(\sin \theta)\right) \]
\[
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