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 |
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
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° |
FAQ
What is arccos(√3/3)?
arccos(√3/3) ≈ 54.7356° ≈ 0.9553 rad
How to convert arccos(√3/3) to radians?
Multiply the angle in degrees by π/180: 54.7356° × π/180 ≈ 0.9553 rad.
Why does a calculator show 0.9553 for arccos(√3/3)?
The calculator is in radian mode (RAD) and gives the angle in radians: arccos(√3/3) ≈ 0.9553 rad. In degrees (DEG) it is ≈ 54.7356°.
See Also
- Arccos of 2/3 (Inverse Cosine) in Degrees and Radians
- Arccos of 2/5 (Inverse Cosine) in Degrees and Radians
- Arccos of 3/4 (Inverse Cosine) in Degrees and Radians
- Arccos of 3/5 (Inverse Cosine) in Degrees and Radians
- Arccos of 4/5 (Inverse Cosine) in Degrees and Radians
- Arccos of 4/7 (Inverse Cosine) in Degrees and Radians
- Arccos of 12/13 (Inverse Cosine) in Degrees and Radians
- Arccos of 60 (Inverse Cosine) in Degrees and Radians
- Arccos of √2/2 (Inverse Cosine) in Degrees and Radians
- Arccos of √3/2 (Inverse Cosine) in Degrees and Radians
- Arccot of −1 (Inverse Cotangent) in Degrees and Radians
- Arccot of −2 (Inverse Cotangent) in Degrees and Radians
- Arccot of −√3 (Inverse Cotangent) in Degrees and Radians
- Arccot of −√3/3 (Inverse Cotangent) in Degrees and Radians
- Arccot of 0 (Inverse Cotangent) in Degrees and Radians
- Arccot of 0.3 (Inverse Cotangent) in Degrees and Radians
- Arccot of 1 (Inverse Cotangent) in Degrees and Radians
- Arccot of 1/2 (Inverse Cotangent) in Degrees and Radians
- Arccot of 2 (Inverse Cotangent) in Degrees and Radians
- Arccot of 3 (Inverse Cotangent) in Degrees and Radians
- Арккосинус √3/3 (arccos √3/3) в градусах и радианах
- Arcocoseno de √3/3 (arccos √3/3) en grados y radianes
- Arco cosseno de √3/3 (arccos √3/3) em graus e radianos