The normal to the curve `x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta)` at any `theta` is such that

Explanation

To find the normal to the curve defined by the parametric equations \( x = a(\cos \theta + \theta \sin \theta) \) and \( y = a(\sin \theta - \theta \cos \theta) \), we will follow these steps:

### Step 1: Find \( \frac{dy}{d\theta} \) and \( \frac{dx}{d\theta} \)

1. Differentiate \( y \) with respect to \( \theta \):
\[ \frac{dy}{d\theta} = a \left( \cos \theta - \theta \sin \theta \right) \]
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