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sin{cot^(-1)[cos(tan^(-1)x)]}=.......

`sin{cot^(-1)[cos(tan^(-1)x)]}=....`

Text Solution

Verified by Experts

The correct Answer is:
`sqrt((1+x^2)/(2+x^2))`
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Knowledge Check

  • sin {cot^(-1)[tan (cos^(-1)x)]=

    A
    x
    B
    `pi/2`
    C
    1
    D
    none of these

  • The value of the expression sin[cot^(-1) (cos(tan^(-1)1))] is

    A
    0
    B
    1
    C
    `(1)/(sqrt(3)) `
    D
    `sqrt((2)/(3))`

  • The vaue of the expression sin [cot^(-1){cos (tan^(-1))}] is

    A
    0
    B
    1
    C
    `(1)/(sqrt(3))`
    D
    `sqrt((2)/(3))`

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