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The value of tan^(-1)x+cot^(-1)x is...

The value of `tan^(-1)x+cot^(-1)x` is

A

`(pi)/(2)`

B

`pi`

C

`-(pi)/(2)`

D

`-pi`

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The correct Answer is:
A
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Knowledge Check

  • The value of cot(tan^(-1)x+cot^(-1)x) is equal to

    A
    1
    B
    0
    C
    `-(pi)/(2)`
    D
    `(pi)/(2)`

  • 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`

  • 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)`

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