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The values of x satisfying sin ^(-1)...

The values of x satisfying ` sin ^(-1) x+ sin ^(-1) (1-x) = cos^(-1) x` are -

A

0

B

`(1)/(2)`

C

`1`

D

`2`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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Knowledge Check

  • The set of values of x satisfying abs(sin^-1x) lt abs(cos^-1x) , is

    A
    `[-1, 1/sqrt2)`
    B
    `[-1, (-1)/sqrt2]cup[1/sqrt2, 1]`
    C
    `[-1, 1/sqrt2]`
    D
    none of these

  • sin^(-1)x gt cos^(-1)x golds for -

    A
    all values of x
    B
    `x in (0,(1)/(sqrt(2)))`
    C
    `x in ((1)/(sqrt(2)),1)`
    D
    `x = 0.75`

  • The number of values of x satisfying the equation sqrt(sin x) - 1/sqrt(sin x) = cos x is

    A
    0
    B
    1
    C
    2
    D
    Infinite solutions.

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    Solve : cos^-1 x - sin^-1 x = cos^-1 (x sqrt3) .

    Solve: sin^-1x+sin^-1(1-x)=cos^-1x

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