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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If cos⁡x=2cos⁡y−12−cos⁡y\cos x=\frac{2 \cos y-1}{2-\cos y}, where x,y∈(0,π)x, y \in(0, \pi), then tan⁡x2cot⁡y2\tan \frac{x}{2} \cot \frac{y}{2} is equal to
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Correct option: B
3\sqrt{3}
Option B (3\sqrt{3}) is correct because by substituting the given expression for cos⁡x\cos x into the half-angle formula, we can simplify and find the value of tan⁡x2cot⁡y2\tan \frac{x}{2} \cot \frac{y}{2}.

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