Arccos of 1/3
Arcsin, Arccos, Arctan, Arccot
What is arccos(1/3)?
Answer
arccos(1/3) ≈
70.5288° ≈ 1.2310 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(1/3) is the angle α in [0°, 180°] with cos α = 1/3.
cos 70.5288° ≈ 0.3333
α = arccos(1/3) ≈ 70.5288°
P ≈ (0.3333, 0.9428)
P lies on the line x = 1/3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 1/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/3) | ≈ 19.4712° | ≈ 0.3398 |
| arccos(1/3) | ≈ 70.5288° | ≈ 1.2310 |
| arctan(1/3) | ≈ 18.4349° | ≈ 0.3218 |
| arccot(1/3) | ≈ 71.5651° | ≈ 1.2490 |
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 |
|---|---|
| 1/5 | ≈ 78.4630° |
| 1/4 | ≈ 75.5225° |
| 0.3 | ≈ 72.5424° |
| 1/3 | ≈ 70.5288° |
| 2/5 | ≈ 66.4218° |
| 1/2 | 60° = π/3 |
| 0.55 | ≈ 56.6330° |
FAQ
What is arccos(1/3)?
arccos(1/3) ≈ 70.5288° ≈ 1.2310 rad
How to convert arccos(1/3) to radians?
Multiply the angle in degrees by π/180: 70.5288° × π/180 ≈ 1.2310 rad.
Why does a calculator show 1.2310 for arccos(1/3)?
The calculator is in radian mode (RAD) and gives the angle in radians: arccos(1/3) ≈ 1.2310 rad. In degrees (DEG) it is ≈ 70.5288°.
See Also
- Arccos of 0 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.1 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.3 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.7 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.9 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.14 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.55 (Inverse Cosine) in Degrees and Radians
- Arccos of 0.65 (Inverse Cosine) in Degrees and Radians
- Arccos of 1 (Inverse Cosine) in Degrees and Radians
- Arccos of 1/2 (Inverse Cosine) in Degrees and Radians
- Arccos of 1/4 (Inverse Cosine) in Degrees and Radians
- Arccos of 1/5 (Inverse Cosine) in Degrees and Radians
- Arccos of 2 (Inverse Cosine) in Degrees and Radians
- 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
- Арккосинус 1/3 (arccos 1/3) в градусах и радианах
- Arcocoseno de 1/3 (arccos 1/3) en grados y radianes
- Arco cosseno de 1/3 (arccos 1/3) em graus e radianos