If $1\, + \,\sin x\, + \,{\sin ^2}x\, + \,...\infty \, = \,4\, + \,2\sqrt 3 ,\,0\, < \,x\, < \,\pi $ then

  • A

    $x = \frac{\pi }{6}$

  • B

    $x = \frac{\pi }{3}$

  • C

    $x = \frac{\pi }{6}$ or $\frac{\pi }{3}$

  • D

    none of these

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