If x and y are connected parametrically by the equations given, without eliminating the parameter, Find `(dy)/(dx)`.
`x=costheta-cos2theta, y=sintheta-sin2theta`

Explanation

To find \(\frac{dy}{dx}\) for the parametric equations \(x = \cos \theta - \cos 2\theta\) and \(y = \sin \theta - \sin 2\theta\), we will use the chain rule for parametric differentiation.

### Step-by-Step Solution:

1. **Identify the Parametric Equations:**
\[ x = \cos \theta - \cos 2\theta \]
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