The most general value of $\theta $ which will satisfy both the equations $\sin \theta = - \frac{1}{2}$ and $\tan \theta = \frac{1}{{\sqrt 3 }}$ is

  • A

    $n\pi + {( - 1)^n}\frac{\pi }{6}$

  • B

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

  • C

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

  • D

    None of these

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