If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=a(theta-sintheta), y=a(1+costheta)`

Explanation

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

### Step 1: Find \(\frac{dy}{d\theta}\)
Given:
\[ y = a(1 + \cos \theta) \]
To find \(\frac{dy}{d\theta}\), we differentiate \(y\) with respect to \(\theta\):
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