JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Understanding +4 | -1

{\sin ^{ - 1}}x + {\sin ^{ - 1}}\frac{1}{x} + {\cos ^{ - 1}}x + {\cos ^{ - 1}}\frac{1}{x}

is equal to

View answer and explanation

Correct option: A

\pi

Option A (

\pi

) is correct because using the identity

{\sin ^{ - 1}}x + {\cos ^{ - 1}}x = \frac{\pi }{2}

, the expression simplifies to

\frac{\pi }{2} + \frac{\pi }{2} = \pi

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