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Find the principle value of sin^(-1)(1/...

Find the principle value of `sin^(-1)(1/(sqrt(2)))`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/4`
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Knowledge Check

  • The principal value of sin^(-1)(-(sqrt(3))/2) is

    A
    `-(2pi)/3`
    B
    `-(pi)/3`
    C
    `(4pi)/3`
    D
    `(5pi)/3`

  • If we consider only the principle values of the inverse trigonometric functions then the value of tan(cos^(-1)""1/(5sqrt(2))-sin^(-1)""4/sqrt(17)) is

    A
    `sqrt(29)/3`
    B
    `29/3`
    C
    `sqrt(3)/29`
    D
    `3/29`

  • The value of sin[(pi)/2-sin^(-1)(-(sqrt(3))/2)]=

    A
    1)`-1//2`
    B
    2)`1//2`
    C
    3)`1//4`
    D
    4)`1/(2sqrt(3))`

    • Similar Questions

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    Find the values of the following: cos^(-1)(1/(sqrt(2)))

    Find the Principle values of the following : sin^(-1)(-1/2)

    Find the values of the following: sin^(-1)(-(sqrt(3))/2)

    Find the values of the following: Sec^(-1)(-sqrt(2))

    Find the values of the following: sec^(-1)((2sqrt(2))/(sqrt(3)+1))

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