If ${\sin ^2}\theta - 2\cos \theta + \frac{1}{4} = 0,$ then the general value of $\theta $ is

  • A

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

  • B

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

  • C

    $2n\pi \pm \frac{\pi }{6}$

  • D

    $n\pi \pm \frac{\pi }{6}$

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