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Question
Find the value of the following:
If sin−1 x = y, then
Options
`0 <= y < pi`
`-pi/2 <= y <= pi/2`
`0 < y < pi`
`-pi/2 < y < pi/2`
Solution
`-pi/2 <= y <= pi/2`
Explanation:
It is given that sin−1 x = y.
We know that the range of the principal value branch of sin−1 is `[-pi/2, pi/2]`
Therefore, `[-pi/2 <= y <= pi/2]`
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