If $x$ and $y$ are connected parametrically by the equations given in $ x = \cos \theta -\ cos 2\theta, y = \sin \theta -\ sin 2\theta $ without eliminating the parameter, Find $\large\frac{dy}{dx}$

Question

$\begin{array}{1 1} -\large\frac{\cos\theta-2\cos \theta}{\sin\theta-2\sin \theta} \\ \large\frac{\cos\theta-2\cos 2\theta}{\sin\theta-2\sin 2\theta} \\ -\large\frac{\cos\theta-2\cos 2\theta}{\sin\theta-2\sin 2\theta} \\ -\large\frac{\cos\theta-2\cos 3\theta}{\sin\theta-2\sin 3\theta} \end{array} $