Arcsin Calculator

Compute arcsin(x) in degrees, radians, π-form, or gradians with a live unit circle.

sin⁻¹(x)

Updates as you type

Input

Value of x ? —

−1 −½ 0 ½ 1

Output unit ?

Presets (click to load)

x	Degrees	Radians

Definition: arcsin(x) = θ where sin(θ) = x

Domain: −1 ≤ x ≤ 1 · Range: [−90°, 90°] or [−π/2, π/2]

x: A real number between −1 and 1 (inclusive). Represents a sine ratio — the y-coordinate of a point on the unit circle.
θ: The principal-value angle whose sine equals x. Arcsin returns only one solution even though infinitely many angles share the same sine.
Notation: arcsin(x), sin⁻¹(x), and asin(x) all mean the same function. The superscript −1 denotes the inverse, not a reciprocal.
Supplementary angle: For any θ in [−90°, 90°], the angle 180° − θ also satisfies sin(180° − θ) = x. The calculator lists this as the secondary solution.