# Inverse Trigonometric Functions Calculator

URL: https://speedycalculator.com/calculators/math/inverse-trig/
Last updated: 2026-10-25

> This calculator finds the angle whose sine, cosine or tangent equals a given value, using arcsin, arccos and arctan. Results are given in degrees and radians.

## Inputs

- Value

## Results

- arcsin
- arccos
- arctan
- arcsin (radians)

## Formula

```
θ = arcsin(x), arccos(x), arctan(x)
```

## Explanation

Inverse trig functions answer “which angle has this ratio?”, for example finding a ramp angle from its rise and length.

### How to use the Inverse Trigonometric Functions Calculator

- **Value**

Results update as you type, and every field accepts the units shown in its menu.

### How it works

Each function returns the principal value: arcsin and arctan between −90° and 90°, arccos between 0° and 180°.

### What each result means

- **arcsin** = deg(asin([Value]))
- **arccos** = deg(acos([Value]))
- **arctan** = deg(atan([Value]))
- **arcsin (radians)** = asin([Value])

### Example values

How the main result changes when **Value** changes and everything else stays at the example values above:

Valuearcsin (°)0.2514.47750.37522.02430.5300.62538.68220.7548.5904190

## Worked example

Inputs — Value: 0.5.

Results — **arcsin = 30 °**; arccos = 60 °; arctan = 26.565051 °; arcsin (radians) = 0.52359878 rad.

## FAQ

**Why is there no arcsin of 2?**
Sine values lie between −1 and 1.

**Why only one angle?**
Infinitely many angles share a ratio; calculators return the principal one.

**What formula does the Inverse Trigonometric Functions Calculator use?**
θ = arcsin(x), arccos(x), arctan(x).