Arcsin Calculator
Find inverse sine angle in degrees and radians
Calculate Clear
Arcsin Formula
θ = arcsin(x), where sin(θ) = x
Arcsin reverses the sine function on its principal range. It takes a sine ratio from -1 to 1 and returns the angle that produces that ratio.
⚠ Input must be between -1 and 1. Results are principal values, not every possible coterminal solution.
How Arcsin Works
If sin θ equals a value x, then arcsin(x) returns the principal angle θ. The result is shown in both degrees and radians.
Inverse Sine
Arcsin reverses sine.
Input Range
x must be from -1 to 1.
Output Range
Principal angle is -90° to 90°.
Angle Units
Result is shown in degrees and radians.
💡 Example: arcsin(0.5)=30°=0.523599 rad.
Applications of Arcsin
Right Triangles Wave Angles Physics Geometry
Frequently Asked Questions
What is an arcsin calculator?▼
It finds the angle whose sine equals the input value.
What is the arcsin input range?▼
The input must be between -1 and 1 because sine values stay in that range.
How do I use this calculator?▼
Enter a value from -1 to 1 and click Calculate.
What is the output range of arcsin?▼
The principal output is from -90° to 90°, or -π/2 to π/2.
Where is arcsin used?▼
Arcsin is used to recover angles from ratios in triangles, physics, waves, and geometry.
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