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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}`
Solution
`[(-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).
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