Arccos Calculator (Inverse Cosine)

Find the angle whose cosine is a given value.

Angle (°) 60

Angle (rad) 1.047

Formula: θ = arccos(x)

Step-by-step with your numbers:

1. Values used:

2. Value (−1 to 1) = 0.5

4. Angle = 60°

5. Angle = 1.047rad

Did we solve your problem today?

Arccosine answers 'what angle has this cosine?', returning a value between 0° and 180°.

The math behind it

arccos is the inverse of cosine, defined for inputs −1 to 1, with output in [0°, 180°].

arccos(0.5) = 60°.

How does it differ from arcsin's range?

Arccos returns 0°–180°, while arcsin returns −90°–90°.