If sin-1 x = y then:

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Solution

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

1 $0 \leq y \leq x$

2 $\frac{- π}{2} \leq y \leq \frac{π}{2}$

3 $0 < y < π$

4 $\frac{- π}{2} < y < \frac{π}{2}$

Ans.
(2)

Ans. $\frac{- π}{2} \leq y \leq \frac{π}{2}$

Explanation:

Range of $\sin^{- 1} x$ is $[\frac{- π}{2}, \frac{π}{2}]$

$∴$ $\frac{- π}{2} \leq y \leq \frac{π}{2}$

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