Arccos of √3/3
Arcsin, Arccos, Arctan, Arccot
What is arccos(√3/3)?
Answer
arccos(√3/3) ≈
54.7356° ≈ 0.9553 rad
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
≈ — the value is not a table one; rounded to 4 decimal places.
arccos(√3/3) is the angle α in [0°, 180°] with cos α = √3/3.
cos 54.7356° ≈ 0.5774
α = arccos(√3/3) ≈ 54.7356°
P ≈ (0.5774, 0.8165)
P lies on the line x = √3/3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = √3/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(√3/3) | ≈ 35.2644° | ≈ 0.6155 |
| arccos(√3/3) | ≈ 54.7356° | ≈ 0.9553 |
| arctan(√3/3) | 30° | π/6 |
| arccot(√3/3) | 60° | π/3 |
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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
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<a href="https://calculat.io/en/number/inverse-trigonometry/arccos--sqrt3-3">Arccos of √3/3 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of √3/3 (Inverse Cosine) in Degrees and Radians. arccos(√3/3) ≈ 54.7356° ≈ 0.9553 rad: the angle in [0°, 180°] whose cosine is √3/3. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--sqrt3-3/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| 1/2 | 60° = π/3 |
| 0.55 | ≈ 56.6330° |
| 4/7 | ≈ 55.1501° |
| √3/3 | ≈ 54.7356° |
| 3/5 | ≈ 53.1301° |
| 0.65 | ≈ 49.4584° |
| 2/3 | ≈ 48.1897° |