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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1
Let nn be a positive integer such that sin⁡π2n+cos⁡π2n=n2\sin \frac{\pi}{2 n}+\cos \frac{\pi}{2 n}=\frac{\sqrt{n}}{2}, then
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Correct option: D
4<n<84 < n < 8
Option D (4<n<84 < n < 8) is correct because by squaring the given equation and substituting n=6, the equation is satisfied.

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