Arcsin calculator

Enter a number between −1 and 1 and get the angle whose sine it is, in degrees or radians. For example sin⁻¹(0.5) = 30°.

Answer in

Fill in the fields; the answer appears here straight away.

How it works

  1. Enter the values

    Type the numbers or the formula. Decimals may use a point or a comma. No idea? Click Fill in an example.

  2. Instant answer

    The answer appears as you type, with the most important intermediate values.

  3. See the working

    Under "How it's worked out" you see the steps, handy for checking your own calculation.

What does arcsin do?

Arcsin (also written sin⁻¹ or asin) works backwards: you know the sine and want the angle. Because many angles share the same sine (sin 30° = sin 150°), the calculator gives the principal value, which lies between −90° and 90°.

Why only between −1 and 1?

A sine is never smaller than −1 or larger than 1, so arcsin(2) doesn't exist. You get a message instead of a strange answer. For the other inverse functions, use the arccos and arctan calculators.

Frequently asked questions

Is the arcsin calculator free?

Yes. The arcsin calculator is completely free, with no account, sign-up or usage limit.

How accurate is the result?

The tool calculates with your browser's number precision. For important calculations, always double-check what you entered.

Does it work on my phone?

Yes. The tool works in any modern browser on a phone, tablet or computer.