Instantly find arcsin, arccos, and arctan in degrees and radians
Input
For arcsin and arccos, x must be between −1 and 1. Arctan accepts any real number.
Quick examples
Results
Input range: [−1, 1] | Output: [−90°, 90°]
Degrees
30°
30.0000000000°
Radians
0.523599 rad
0.5235987756 rad
≈ 0.166667 π
Input range: [−1, 1] | Output: [0°, 180°]
Degrees
60°
60.0000000000°
Radians
1.047198 rad
1.0471975512 rad
≈ 0.333333 π
Input range: all real numbers | Output: (−90°, 90°)
Degrees
26.565051°
26.5650511771°
Radians
0.463648 rad
0.4636476090 rad
≈ 0.147584 π
Inverse Trig Reference
| x | arcsin(x) | arccos(x) | arctan(x) |
|---|---|---|---|
| −1 | −90° | 180° | — |
| −√3/2 | −60° | 150° | — |
| −√2/2 | −45° | 135° | — |
| −1/2 | −30° | 120° | — |
| 0 | 0° | 90° | 0° |
| 1/2 | 30° | 60° | — |
| √2/2 | 45° | 45° | — |
| √3/2 | 60° | 30° | — |
| 1 | 90° | 0° | — |
All values shown in degrees. Conversion: degrees = radians × (180 / π).
The inverse trig calculator computes arcsin, arccos, and arctan for any input value, returning results in both degrees and radians simultaneously. Whether you need sin inverse for a geometry problem, arccos for a dot-product angle, or arctan to convert a slope into degrees, this tool handles all three inverse trigonometric functions instantly — no formula lookup required.
Arcsin and arccos only accept inputs between −1 and 1 (inclusive), because sine and cosine values always fall in that range. Arctan has no such restriction — it accepts any real number, including very large values, returning an angle approaching ±90°.
Multiply the radian value by 180 divided by π (approximately 57.2958). The calculator does this automatically and shows both units side by side, so no manual conversion is needed.
Inverse trig functions are defined to return a single principal value. Arcsin always returns an angle in the range [−90°, 90°], so arcsin(0.5) = 30°. The angle 150° also has a sine of 0.5 but lies outside the principal range — you would need to use the supplementary angle identity if your problem requires it.
For any x in [−1, 1], arcsin(x) + arccos(x) = 90° (π/2 radians). This complementary relationship means the two angles always add up to a right angle. For example, arcsin(0.5) = 30° and arccos(0.5) = 60°, which sum to 90°.