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Find the equations of the tangent and the normal to the curve `x=a(theta+sintheta),\ \ y=a(1-costheta)` at `theta` at indicated points.

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To find the equations of the tangent and the normal to the curve given by the parametric equations \( x = a(\theta + \sin \theta) \) and \( y = a(1 - \cos \theta) \) at a specific value of \( \theta \), we will follow these steps: ### Step 1: Find \( \frac{dy}{d\theta} \) and \( \frac{dx}{d\theta} \) We start by differentiating \( x \) and \( y \) with respect to \( \theta \): \[ \frac{dx}{d\theta} = a(1 + \cos \theta) ...
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