If `x=a(theta-sintheta)` and, `y=a(1+costheta)` , find `(dy)/(dx)` at `theta=pi/3` .

Explanation

To find \(\frac{dy}{dx}\) at \(\theta = \frac{\pi}{3}\) 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 \(\theta\)

Given:
\[ x = a(\theta - \sin \theta) \]
...