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If sin^(-1)x+sin^(-1)y=(2pi)/3, then cos...

If `sin^(-1)x+sin^(-1)y=(2pi)/3`, then `cos^(-1)x+cos^(-1)y` is equal to

A

`pi/6`

B

`pi/3`

C

`pi`

D

`(2pi)/3`

Text Solution

Verified by Experts

The correct Answer is:
B
`sin^(-1)x+sin^(-1)y=(2pi)/3 rArr (pi/2-cos^(-1)x)+(pi/2-cos^(-1)y)=(2pi)/3`.
`therefore cos^(-1)x+cos^(-1)y=(pi-(2pi)/3)=pi/3`.
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