If $1 + \cot \theta = {\rm{cosec}}\theta $, then the general value of $\theta $ is

  • A

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

  • B

    $2n\pi - \frac{\pi }{2}$

  • C

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

  • D

    None of these

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