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

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

Text Solution

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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Knowledge Check

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

    A
    `(2pi)/3`
    B
    `(pi)/3`
    C
    `(pi)/6`
    D
    `pi`

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    A
    `pi/2`
    B
    `pi/4`
    C
    `pi`
    D
    `(3pi)/4`

  • If sin^(-1)x +sin^(-1)y =pi then cos^(-1)x +cos^(-1)y is :

    A
    `pi`
    B
    `(pi)/(2)`
    C
    0
    D
    `2pi`

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