inverse functions

Question

The range of sin⁻¹(x) is

RankGuru · Accepted Answer

1. **Bijectivity Constraint**: Sine is periodic, so its inverse is only a function if we restrict the 'Range'.
2. **Principal Branch**: By convention, we select the interval passing through 0 where the function is strictly increasing.
3. **Specific Interval**: **$[-\pi/2, \pi/2]$**.
4. **Domain Note**: The corresponding input domain is $[-1, 1]$.

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More inverse functions Practice Questions

The range of cos⁻¹(x) is