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The range of cot^(-1)(x) is =...

The range of `cot^(-1)(x)` is =

A

`R`

B

`(0,pi)`

C

`[0,pi]`

D

`(-(pi)/2,(pi)/2)`

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • The range of f(x)=cot^(-1)(2x-x^(2)) is

    A
    `[pi/4, pi]`
    B
    `[pi/4, pi]`
    C
    `(pi/4, pi]`
    D
    `(pi/4,pi)`

  • Statement 1 : If x in [1, sqrt(3)] then the range of f(x)=tan^(-1)x is [pi//4, pi//3] . Statement 2 : If x in [1, b] then the range of f(x) is [f(a), f(b)]

    A
    Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.
    B
    Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.
    C
    Statement 1 is true, statement 2 is false
    D
    Statement 1 is false, statement 2 is true

  • The range of Sin^(-1)5x is

    A
    `[-pi//3,pi//3]`
    B
    `[-pi//2,pi//2]`
    C
    `[-pi//3,pi//4]`
    D
    none

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