If $4{\sin ^2}\theta + 2(\sqrt 3 + 1)\cos \theta = 4 + \sqrt 3 $, then the general value of $\theta $ is

  • A

    $2n\pi \pm \frac{\pi }{3}$

  • B

    $2n\pi + \frac{\pi }{4}$

  • C

    $n\pi \pm \frac{\pi }{3}$

  • D

    $n\pi - \frac{\pi }{3}$

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