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

  • A

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

  • B

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

  • C

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

  • D

    $x = \frac{\pi }{3}$ or $\frac{{2\pi }}{3}$

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