Math

Arccos Calculator (Inverse Cosine)

Find the angle whose cosine is a given value.

Parameters Live Compute
Calculated Output
Angle (°) 60
Angle (rad) 1.047
Formula: θ = arccos(x)
Step-by-Step Breakdown
1. Values used:
2. Value (−1 to 1) = 0.5
3.
4. Angle = 60°
5. Angle = 1.047rad
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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°].

Worked Example

arccos(0.5) = 60°.

Frequently Asked Questions

How does it differ from arcsin's range?

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

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