If $\tan x+\cot x=2$, then $\sin ^{2 n} x+\cos ^{2 n} x$ is equal to

JEE MATHEMATICS MCQ: TRIGONOMETRIC EQUATIONS

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Application +4 | -1

\tan x+\cot x=2

, then

\sin ^{2 n} x+\cos ^{2 n} x

is equal to

View answer and explanation

Correct option: D

None of these

The correct answer is None of these because the expression simplifies to

\frac{1}{2^{n-1}}

, which is not among the options.

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