🛠️ JEE➗ Maths

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{…

Q1

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

[JEE Main 2021, 27 Aug (Shift 2)]

a

0

b

\( \frac{1} { 2} \)

c

\( \frac{1}{1+\sin x} \)

d

\( \frac{1}{\sqrt{1+\sin x}}+\frac{1}{\sqrt{1-\sin x}} \)

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