1.

If \[y={{\cot }^{-1}}\left[ \frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}} \right]\], where \[0

A. \[\frac{1}{2}\]
B. 2
C. \[\sin x+\cos x\]
D. \[\sin x-\cos x\]
Answer» B. 2


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