If ${\left( {\frac{{\sin \theta }}{{\sin \phi }}} \right)^2} = \frac{{\tan \theta }}{{\tan \phi }} = 3,$ then the value of $\theta $ and $\phi $ are

  • A

    $\theta = n\pi \pm \frac{\pi }{3},\,\phi = n\pi \pm \frac{\pi }{6}$

  • B

    $\theta = n\pi - \frac{\pi }{3},\,\phi = n\pi - \frac{\pi }{6}$

  • C

    $\theta = n\pi \pm \frac{\pi }{2},\,\phi = n\pi + \frac{\pi }{3}$

  • D

    None of these

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