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Sin^(-1)("sin"(2pi)/3)=...

`Sin^(-1)("sin"(2pi)/3)=`

A

`pi//12`

B

`pi//3`

C

`3pi//4`

D

`pi//6`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • The value of the expression Sin^(-1)(Sin""(22pi)/7)+Cos^(-1)(Cos""(5pi)/3)+Tan^(-1)(Tan""(5pi)/7)+Sin^(-1)(Cos2) is

    A
    `(17pi)/42-2`
    B
    -2
    C
    `-pi/21-2`
    D
    `pi/21`

  • If sin^(-1)(x)+sin^(-1)(2x)=(pi)/3 then x=

    A
    `3/28`
    B
    `(sqrt(3))/28`
    C
    `sqrt(3/28)`
    D
    `3/(sqrt(28))`

  • If Sin^(-1)x+Sin^(-1)y=2pi//3,"then "Cos^(-1)x+Cos^(-1)y=

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

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