If the parametric equations of a curve are given by $x = \cos \theta + \log \tan \frac{\theta}{2}$ and $y = \sin \theta$, then the points for which $\frac{dy}{dx} = 0$ are given by

Question

$\theta = \frac{n\pi}{2}, \, n \in \mathbb{Z}$

$\theta = (2n + 1)\frac{\pi}{2}, \, n \in \mathbb{Z}$

$\theta = (2n + 1)\pi, \, n \in \mathbb{Z}$

$\theta = n\pi, \, n \in \mathbb{Z}$

Solution

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