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Given 0 le x le 1/2 then the value of ta...

Given `0 le x le 1/2` then the value of `tan[sin^(-1){x/sqrt(2)+sqrt(1-x^(2))/sqrt(2)}-sin^(-1)x]` is

A

-1

B

1

C

`1/sqrt(3)`

D

`sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • int (tan (sin^(-1)x))/(sqrt(1-x^(2)))dx=

    A
    `log|sin(Sin^(-1))|+c`
    B
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    D
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  • int (x+Sin^(-1)x)/(sqrt(1-x^(2)))=dx

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    B
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    C
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    D
    none

  • tan[2Tan^(-1)((sqrt(1+x^(2))-1)/x)]=

    A
    x
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