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Let the domain and range of inverse circ...

Let the domain and range of inverse circular functions are defined as follows:

If `xepsilon[-1,1]` then range of `tan^(-1)(-x)` is

A

`[(3pi)/(4),(7pi)/(4)]`

B

`[(3pi)/(4),(5pi)/(4)]`

C

`[-pi,0]`

D

`[-pi/4,pi/4]`

Text Solution

Verified by Experts

The correct Answer is:
D
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Knowledge Check

  • Let the domain and range of inverse circular functions are defined as follows: sin^(-1)xlt(3pi)/4 then solution of x is

    A
    `(1/(sqrt(2)),1]`
    B
    `(-1/(sqrt(2)),-1]`
    C
    `[-1/(sqrt(2)),1/(sqrt(2))]`
    D
    none of these

  • Let the domain and range of inverse circular functions are defined as follows: If xepsilon((-pi)/2,(pi)/2), cosec^(-1)cosecx is

    A
    `2pi-x`
    B
    `pi+x`
    C
    `pi-x`
    D
    `-pi-x`

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