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

  • [JEE MAIN 2019]
  • A

    $\frac{{13\,\pi }}{6}$

  • B

    $2\pi $

  • C

    $\pi $

  • D

    $\frac{{5\,\pi }}{3}$

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