Prove the following

Question:

If $x=2 \sin \theta-\sin 2 \theta$ and $y=2 \cos \theta-\cos 2 \theta$, $\theta \in[0,2 \pi]$, then $\frac{\mathrm{d}^{2} \mathrm{y}}{\mathrm{dx}^{2}}$ at $\theta=\pi$ is :

  1. $\frac{3}{2}$

  2. $-\frac{3}{4}$

  3. $\frac{3}{4}$

  4. $-\frac{3}{8}$


Correct Option: , 4

Solution:

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