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Question
The principal value of `sin^-1 ((-sqrt(3))/2)` is ______.
Options
`- (2pi)/3`
`-pi/3`
`(4pi)/3`
`(5pi)/3`
Solution
The principal value of `sin^-1 ((-sqrt(3))/2)` is `-pi/3`.
Explanation:
`sin^-1 ((-sqrt(3))/2) = sin^-1 (- sin pi/3)`
= `- sin^-1 (sin pi/3)`
= `- pi/3`.
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