If $x=2 \cos ^3 \theta$ and $y=3 \sin ^2 \theta$, then $\frac{d y}{d x}=$

• Correct answer
  A

  $-\sec \theta$
• B

  $\cos \theta$
• C

  $-\operatorname{cosec} \theta$
• D

  $\sin \theta$

Hence, the correct answer is option: 'A'.