If $\sin ^{-1} x=y$, then

$-\frac{\pi}{2} < y < \frac{\pi}{2}$

JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Remembering +4 | -1

\sin ^{-1} x=y

, then

View answer and explanation

Correct option: B

-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}

Option B (

-\frac{\pi}{2} \leq y \leq \frac{\pi}{2}

) is correct because the range of the principal value of

\sin^{-1} x

[-\frac{\pi}{2}, \frac{\pi}{2}]

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