Arcsin calculator
Find the principal angle whose sin is x. Results are −90° to 90°, shown in degrees and radians.
Formula
θ = arcsin(x); sin(θ) = x; degrees = radians × 180/π.
Angle (radians) ≈ atan((0.5)÷sqrt(1-(0.5)^2)) · Angle (degrees) ≈ (0.5235987756)×180÷pi
How to use
- Enter the ratio x.
- Keep x from −1 to 1.
- Read the principal angle.
Examples
- arcsin(0.5) = 30°.
Frequently asked questions
What does inverse mean?
It finds an angle from its sin value; it is not 1/sin(x).
Which angle is returned?
The principal angle, −90° to 90°.
Is the input an angle?
No. x is a unitless ratio in [−1,1].
Sources
Updated: