If \( y=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqr...

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If \( y=\cot ^{-1}\left(\frac{\sqrt{1+\sin x}+\sqrt{1-\sin x}}{\sqrt{1+\sin x}-\sqrt{1-\sin x}}\right) \) then \( \frac{d^{2} y}{d x^{2}} \) is equal to
(a) 0
(b) \( 1 / 2 \)
(c) \( \frac{1}{1+\sin x} \)
(d) \( \frac{1}{\sqrt{1+\sin x}}+\frac{1}{\sqrt{1-\sin x}} \)
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