If x = a `( t+ sin t) and y = a (1- cos t) " find " (dy)/(dx)`

Explanation

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

### Step 1: Differentiate \(x\) with respect to \(t\)
Given:
\[ x = a(t + \sin t) \]
Differentiating \(x\) with respect to \(t\):
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