Solve this following

Question:

Let $S=\left\{\theta \in[-2 \pi, 2 \pi]: 2 \cos ^{2} \theta+3 \sin \theta=0\right\}$.

Then the sum of the elements of $S$ is

  1. $\frac{13 \pi}{6}$

  2. $\pi$

  3. $2 \pi$

  4. $\frac{5 \pi}{3}$


Correct Option: , 3

Solution:

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