Arcsine Calculator
sin⁻¹(x) — find the angle whose sine is x. Domain [-1, 1], range [−90°, 90°].
Result
sin⁻¹(0.5)
30.000000°
Or: 0.5236 rad / 30.0000°.
- Result (deg)30.000000
- Result (rad)0.523599
- Verify: sin(result)0.500000
Step-by-step
- Apply arcsin: sin⁻¹(0.5) = 0.523599 rad.
- Convert if needed: 0.523599 × 180/π = 30.000000°.
How to use this calculator
- Enter a value between -1 and 1.
- Read the angle in your chosen unit.
About this calculator
arcsin (sin⁻¹) returns the angle whose sine is the input. Domain is [−1, 1]; outside this range there is no real solution. Principal range is [−90°, 90°] (or [−π/2, π/2] in radians).
Frequently asked
Sine isn't one-to-one over its full domain — sin(30°) = sin(150°). The "principal" arcsin returns the value in [−90°, 90°] for uniqueness.
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