Question

Which of the following is the principal value branch of cosec^–1x?

Options

• `((-pi)/2, pi/2)`

• `[0, pi] - {pi/2}`

• `[(-pi)/2, pi/2]`

• `[(-pi)/2, pi/2] - {0}`

Answer 1

`[(-pi)/2, pi/2] - {0}`

Explanation:

Principal value branch of cosec^–1x is

`[(-pi)/2, pi/2] - {0}` as cosec^–1(0) = `oo` (not defined).