If `x=a(theta-sintheta)` , `y=a(1+costheta)` find `(d^2y)/(dx^2)`

Explanation

To find \(\frac{d^2y}{dx^2}\) given the parametric equations \(x = a(\theta - \sin \theta)\) and \(y = a(1 + \cos \theta)\), we will follow these steps:

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

1. Differentiate \(x\):
\[ \frac{dx}{d\theta} = a(1 - \cos \theta) \]
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