If $\cot \theta + \cot \left( {\frac{\pi }{4} + \theta } \right) = 2$, then the general value of $\theta $ is

  • A

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

  • B

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

  • C

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

  • D

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

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