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

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

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Verified by Experts

The correct Answer is:
`(pi)/(3)`
`sin^(-1) x + sin^(-1) y = (2pi)/(3)`
`rArr (pi)/(2) - cos^(-1) x + (pi)/(2) - cos^(-1) y = (2pi)/(3)`
`rArr cos^(-1) x + cos^(-1) y = pi - (2pi)/(3) = (pi)/(3)`
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CENGAGE-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
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