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"tan"^(-1)1/(sqrt(x^(2)-1))|x|gt1...

`"tan"^(-1)1/(sqrt(x^(2)-1))|x|gt1`

Text Solution

Verified by Experts

The correct Answer is:
`(pi)/2-sec^(-1)x`
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Explore conceptually related problems

Write the following in the simplest form: tan^(-1)(1/(sqrt(x^(2)-1))),|x|ltq

Write the following in the simplest form: "tan"^(-1)(sqrt(1+x^(2))-1)/x,x!=0

Knowledge Check

  • If "tan"^(-1) (sqrt(1+x^2)-1)/x=4 , then x equals :

    A
    tan 2
    B
    tan 4
    C
    tan 6
    D
    tan 8

  • If tan^(-1)(sqrt(1+x^(2))-1)/(x)=4 then x equals

    A
    tan 2
    B
    tan 4
    C
    tan 6
    D
    tan 8

  • Derivative of tan^(-1) ((sqrt(1+x^(2))-1)/x) w.r.t tan^(-1)x is

    A
    (1/2)
    B
    (-1/2)
    C
    1
    D
    (-1)

    • Similar Questions

    Explore conceptually related problems

    Write the following function in the simplest form : "tan"^(-1)(sqrt(1+x^(2))-1)/x, x!=0

    Write tan^(-1)((sqrt(1xx x^(2))-1)/(x)),x ne0 in the simplest form.

    Write the function tan^(-1)((sqrt(1+x^(2))-1)/x)x ne 0 , in the simplest form.

    Write cot^(-1)"" ((1)/( sqrt(x^2-1))) , x gt 1 in the simplest form

    The value of differentiation of tan^(-1)x with respect to tan^(-1) ((sqrt(1+ x^(2)) -1)/(x)) is k . Then k//2 is

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