If $\frac{3\pi}{4} < \alpha < \pi,$ then $\sqrt{\csc^2 \alpha + 2\cot \alpha}$ is equal to

  • A
    $1 + \cot \alpha$
  • B
    $1 - \cot \alpha$
  • C
    $-1 - \cot \alpha$
  • D
    $-1 + \cot \alpha$

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