Find `(dy)/(dx),` when `x=a e^(theta)(sintheta-costheta),y=a e^(theta)(sintheta+costheta)`

Explanation

To find \(\frac{dy}{dx}\) when \(x = a e^{\theta} (\sin \theta - \cos \theta)\) and \(y = a e^{\theta} (\sin \theta + \cos \theta)\), we will follow these steps:

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

Given:
\[ x = a e^{\theta} (\sin \theta - \cos \theta) \]
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