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 |
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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--1-3">Arccos of 1/3 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of 1/3 (Inverse Cosine) in Degrees and Radians. arccos(1/3) ≈ 70.5288° ≈ 1.2310 rad: the angle in [0°, 180°] whose cosine is 1/3. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--1-3/generated.jpg)
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° |