JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1

x \in(\pi, 2 \pi)

and

\frac{\sqrt{1+\cos x}+\sqrt{1-\cos x}}{\sqrt{1+\cos x}-\sqrt{1-\cos x}}=\cot \left(a+\frac{x}{2}\right)

, then

a

is equal to

View answer and explanation

Correct option: A

\frac{\pi}{4}

Option A (

\frac{\pi}{4}

) is correct because simplifying the given expression leads to

\cot(\frac{\pi}{4} + \frac{x}{2})

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