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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If 1+sin⁡2x1−sin⁡2x=cot⁡2(a+x)\frac{1+\sin 2 x}{1-\sin 2 x}=\cot ^2(a+x), ∀ x∈R∼(nπ+π4),n∈N\forall \, x \in R \sim\left(n \pi+\frac{\pi}{4}\right), n \in N, then aa is equal to
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Correct option: C
3π4\frac{3 \pi}{4}
Option C (3π4\frac{3 \pi}{4}) is correct because by simplifying the given expression and using trigonometric identities, we can find that a=3π4a = \frac{3 \pi}{4}.

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