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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If 2cos⁡2x2sin⁡2x=x2+x−22 \cos ^2 \frac{x}{2} \sin ^2 x=x^2+x^{-2},0<x≤π20 < x \leq \frac{\pi}{2}, then xx is equal to
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Correct option: A
ϕ\phi
Option A (ϕ\phi) is correct because the LHS is always less than 2, while the RHS is always greater than or equal to 2, so there is no solution.

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