If ${\sin ^{ - 1}}x + {\sin ^{ - 1}}y = \frac{\pi }{2}$, then ${\cos ^{ - 1}}x + {\cos ^{ - 1}}y$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Understanding +4 | -1

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

, then

{\cos ^{ - 1}}x + {\cos ^{ - 1}}y

is equal to

View answer and explanation

Correct option: A

\frac{\pi }{2}

Option A (

\frac{\pi }{2}

) is correct because if

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

, then

{\cos ^{ - 1}}x + {\cos ^{ - 1}}y

can be derived using the identity

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

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