If $\sin ^{-1} x+\sin ^{-1} y=2 \pi / 3$, then $\cos ^{-1} x+\cos ^{-1} y$ is equal to

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

1 Easy

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Application +4 | -1

\sin ^{-1} x+\sin ^{-1} y=2 \pi / 3

, then

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

is equal to

View answer and explanation

Correct option: B

\pi / 3

Option B (

\pi / 3

) is correct because using the identity

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

, we can rewrite the expression and solve for

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

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