Domain of $f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x$ is

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Understanding +4 | -1

Domain of

f(x)=\cos ^{-1} x+\cot ^{-1} x+\operatorname{cosec}^{-1} x

View answer and explanation

Correct option: D

\{-1,1\}

Option D ({

-1,1

}) is correct because the domain of

\cos^{-1}x

[-1, 1]

, the domain of

\cot^{-1}x

\mathbb{R}

, and the domain of

\csc^{-1}x

(-\infty, -1] \cup [1, \infty)

. The intersection of these domains is {

-1, 1

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