Arcsine (arcsin or sin⁻¹) is the inverse of the sine function. Given a value x, arcsin(x) returns the angle θ such that sin(θ) = x. The output angle lies in the range [-90°, 90°] (or [-π/2, π/2] radians).

Why must the input be between -1 and 1?

The sine of any angle always produces a value in [-1, 1]. Therefore the inverse operation is only defined for inputs in that range. Values outside it have no real-number solution.

How do I convert the result from radians to degrees?

Multiply the radian value by 180/π (approximately 57.2958). The calculator does this automatically and shows both units side by side.

What is the difference between arcsin and sin⁻¹?

They are the same function. "sin⁻¹" is the notation used on most calculators, while "arcsin" is the conventional mathematical notation. Both mean the inverse sine.

Can arcsin return an angle greater than 90 degrees?

No. By definition the principal value of arcsin is restricted to [-90°, 90°]. If your problem requires an angle in a different quadrant, you must apply the appropriate supplementary or reflex angle identity manually.

Arcsine Calculator

Name: Arcsine Calculator
Availability: InStock
Author: Nham Vu

Enter a value between -1 and 1 to instantly get its arcsine in both degrees and radians.

Input Value

Value (must be between −1 and 1)

Common values

Result

Enter a value and press Calculate.

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