Inverse Trig Functions

The Inverse Trig Functions computes arcsin (°) from 1 input: value (-1 to 1 for sin/cos). Calculate arcsin, arccos, arctan.

Trigonometry is how we turn angles into distances and distances into angles. It sits under every GPS fix, surveyor measurement, and game-engine render — and it still shows up in carpentry, roof pitches, and woodworking. The Inverse Trig Functions sits in that toolkit — it calculate arcsin, arccos, arctan. Enter your numbers above and the result updates instantly; every step of the math is shown in the Derivation panel so you can see exactly how the answer was reached.

Where

v

Value (-1 to 1 for sin/cos)

arcsin (°)

Output value

arccos (°)

Output value

arctan (°)

Output value

1. 01Start by noting the input — Value (-1 to 1 for sin/cos): 0.5.
2. 02Substitute these values into the formula: arcsin (°) = 180 × asin(t) / π | arccos (°) = 180 × acos(t) / π | arctan (°) = 180 × atan(t) / π
3. 03Compute arcsin (°): the calculator returns 30.
4. 04Compute arccos (°): the calculator returns 60.
5. 05Compute arctan (°): the calculator returns 26.5651.
6. 06Cross-check the answer by opening the Derivation panel above — every line of math is shown so you can follow the computation end-to-end.

The formula gets rearranged depending on which variable you need. Here are the patterns you’ll run into in the real world — find the one that matches your problem and follow the worked steps.