Arccos of 1/2
Arcsin, Arccos, Arctan, Arccot
What is arccos(1/2)?
Answer
arccos(1/2) =
60° = π/3
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
1/2 = 0.5.
arccos(1/2) is the angle α in [0°, 180°] with cos α = 1/2.
α = arccos(1/2) = 60°
P(cos 60°, sin 60°) = (1/2, √3/2)
P lies on the line x = 1/2 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 1/2.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/2) | 30° | π/6 |
| arccos(1/2) | 60° | π/3 |
| arctan(1/2) | ≈ 26.5651° | ≈ 0.4636 |
| arccot(1/2) | ≈ 63.4349° | ≈ 1.1071 |
Found an error in the calculation or the information?
See Also
- Sin, Cos, Tan, Cot of an Angle - Exact value in square roots and the decimal, with reduction to an acute angle on the unit circle
- Square Root Calculator - Calculate the square root of any number
- Simplify Square Root Calculator - Write any square root in simplest radical form, step by step
Share This Calculation
Print
<a href="https://calculat.io/en/number/inverse-trigonometry/arccos--1-2">Arccos of 1/2 (Inverse Cosine) in Degrees and Radians</a>Facebook
Twitter
Telegram
WhatsApp
Viber
Email
![Arccos of 1/2 (Inverse Cosine) in Degrees and Radians. arccos(1/2) = 60° = π/3: the angle in [0°, 180°] whose cosine is 1/2. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--1-2/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| 0.3 | ≈ 72.5424° |
| 1/3 | ≈ 70.5288° |
| 2/5 | ≈ 66.4218° |
| 1/2 | 60° = π/3 |
| 0.55 | ≈ 56.6330° |
| 4/7 | ≈ 55.1501° |
| √3/3 | ≈ 54.7356° |