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sin(cot^(-1)x)=...

`sin(cot^(-1)x)`=

A

`sqrt(1+x^2)`

B

x

C

`(1+x^2)^(-3//2)`

D

`1/sqrt(1+x^2)`

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Knowledge Check

  • If 0 lt x lt 1 , then sqrt(1+x^2)[{xcos(cos^-1x)+sin(cot^-1x)}^2-1]^(1//2) =

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

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

    A
    44198
    B
    1
    C
    0
    D
    -0.5

  • (d)/(dx)[sin^(2)cot^(-1)( sqrt((1-x)/(1+x)))] is equal to -

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

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