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:
| Value | arcsin (°) |
|---|---|
| 0.25 | 14.4775 |
| 0.375 | 22.0243 |
| 0.5 | 30 |
| 0.625 | 38.6822 |
| 0.75 | 48.5904 |
| 1 | 90 |
Formula
θ = arcsin(x), arccos(x), arctan(x)Worked example
Inputs — Value: 0.5.
Results — arcsin = 30 °; arccos = 60 °; arctan = 26.565051 °; arcsin (radians) = 0.52359878 rad.
Frequently asked questions
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).