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If 5 cos^(-1)((1-x^2)/(1+x^2))+7sin^(-1)...

If `5 cos^(-1)((1-x^2)/(1+x^2))+7sin^(-1)((2x)/(1+x^2))-4tan^(-1)((2x)/(1-x^2))-tan^(-1)x=5pi`, then x is equal to

A

3

B

`-sqrt3`

C

`sqrt2`

D

`sqrt3`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • 5cos^(-1)((1-x^(2))/(1+x^(2)))+7sin^(-1)((2x)/(1+x^(2)))-4tan^(-1)((2x)/(1-x^(2)))-tan^(-1)x=5pi , then x is equal to

    A
    3
    B
    `-sqrt(3)`
    C
    `sqrt(2)`
    D
    `sqrt(3)`

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

    A
    0
    B
    1
    C
    `1//sqrt3`
    D
    `sqrt3`

  • If sin^(-1)((2x)/(1+x^(2)))+cos^(-1)((1-x^(2))/(1+x^(2)))=4 tan^(-1) x then

    A
    `x in -(-oo,-1)`
    B
    `x in (1,oo)`
    C
    `x in [0,1]`
    D
    `x in [-1,0)`

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