If `x=2costheta-cos2\ theta` and `y=2sintheta-sin2\ theta` , prove that `(dy)/(dx)=tan((3theta)/2)`

Explanation

To prove that \(\frac{dy}{dx} = \tan\left(\frac{3\theta}{2}\right)\) given \(x = 2\cos\theta - \cos 2\theta\) and \(y = 2\sin\theta - \sin 2\theta\), we will follow these steps:

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

1. **Differentiate \(x\)**:
\[ x = 2\cos\theta - \cos 2\theta \]
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