If \( \frac{3 \pi}{4}\alpha\pi \), then \( \sqrt{2 \cot \alpha+\frac{1}{\sin ^{2} \alpha}} \) is...
If \( \frac{3 \pi}{4}\alpha\pi \), then \( \sqrt{2 \cot \alpha+\frac{1}{\sin ^{2} \alpha}} \) is equal to
(A) \( 1-\cot \alpha \)
(B) \( 1+\cot \alpha \)
(C) \( -1+\cot \alpha \)
(D) \( -1-\cot \alpha \)
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