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JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Analyzing +4 | -1
If ntan⁡y=tan⁡x,n∈R+n \tan y=\tan x, n \in R^{+}, then the maximum value of sec⁡2(x−y)\sec ^2(x-y) is equal to
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Correct option: D
(n+1)24n\frac{(n+1)^2}{4 n}
Option A (nπ−π4n \pi-\frac{{\pi}}{{4}}) is correct because it represents the general solution where the real part of the given complex expression is zero, making it purely imaginary.

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