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If "cos"^(-1)x+"cos"^(-1)y=(2pi)/(7), th...

If `"cos"^(-1)x+"cos"^(-1)y=(2pi)/(7)`, then the value of
`"sin"^(-1)x+"sin"^(-1)y` is

A

`(4pi)/(7)`

B

`(3pi)/(7)`

C

`(5pi)/(7)`

D

`(6pi)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

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

    A
    `(1)/(sqrt(2))`
    B
    `-(1)/(sqrt(2))`
    C
    `(-sqrt(3))/(2)`
    D
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  • If cos x + cos^(2) x =1 , then the value of sin^(4) x + sin^(6) x is

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    `-1 + sqrt5`
    B
    `(-1 - sqrt5)/( 2)`
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    `(1-sqrt5)/(2)`
    D
    `(-1+sqrt5)/(2)`

  • If cos^-1x+cos^-1y=pi/3 ,then sin^-1x+sin^-1y=………..

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

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