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Write the values of x for which tan^(-1)...

Write the values of x for which `tan^(-1)""(1)/(x)=cot^(-1)x`, holds.

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Writeh the set of values of x for which 2tan^(-1)x="sin"^(-1)(2x)/(1+x^(2)) holds.

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Knowledge Check

  • The value of x for which sin (cot^(-1) (1+x))=cos (tan^(-1) x) is :

    A
    `1/2`
    B
    1
    C
    0
    D
    `-1/2`

  • tan ^(-1) x gt cot ^(-1) x, holds for

    A
    `x gt 1`
    B
    `x le 1`
    C
    `x=1`
    D
    for all values of `x`

  • The value of cot (sin ^(-1) x) is

    A
    `(sqrt(1+x^(2)))/(x)`
    B
    `(x)/(sqrt(1+x^(2)))`
    C
    `(1)/(x)`
    D
    `(sqrt(1-x^(2)))/(x)`

    • Similar Questions

    Explore conceptually related problems

    Write the values of x for which 2tan^(-1)x=cos^(-1)(1-x^(2))/(1+x^(2)) , holds.

    Write the set of the value of x for which 2tan^(-1)x="cos"^(-1)(1-x^(2))/(1+x^(2)) holds.

    Write the value of x for which 2tan^(-1)x = cos^(-1)[(1-x^(2))/(1+x^(2))] holds:

    If tan^(-1)((1-x)/(1+x))=1/2tan^(-1)x,xgt0 find x

    tan ^(-1)(cot x)-cot ^(-1)(tan x)=

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