Question

The value of
\(\cot^{-1}[\frac{\sqrt{1-\sin x}+\sqrt{1+\sin x}}{\sqrt{1-\sin x}-\sqrt{1+\sin x}}]\) where x ∈ \((0,\frac{\pi}{4})\) is

• A. \(\pi-\frac{x}{3}\)
• B. \(\frac{x}{2}\)
• C. \(\pi-\frac{x}{2}\)
• D. \(\frac{x}{2}-\pi\)

Answer 1

The Correct Option is C

The correct answer is (C) : \(\pi-\frac{x}{2}\).