Arccos of 2/3
Arcsin, Arccos, Arctan, Arccot
What is arccos(2/3)?
Answer
arccos(2/3) ≈
48.1897° ≈ 0.8411 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(2/3) is the angle α in [0°, 180°] with cos α = 2/3.
cos 48.1897° ≈ 0.6667
α = arccos(2/3) ≈ 48.1897°
P ≈ (0.6667, 0.7454)
P lies on the line x = 2/3 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 2/3.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(2/3) | ≈ 41.8103° | ≈ 0.7297 |
| arccos(2/3) | ≈ 48.1897° | ≈ 0.8411 |
| arctan(2/3) | ≈ 33.6901° | ≈ 0.5880 |
| arccot(2/3) | ≈ 56.3099° | ≈ 0.9828 |
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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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![Arccos of 2/3 (Inverse Cosine) in Degrees and Radians. arccos(2/3) ≈ 48.1897° ≈ 0.8411 rad: the angle in [0°, 180°] whose cosine is 2/3. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--2-3/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| √3/3 | ≈ 54.7356° |
| 3/5 | ≈ 53.1301° |
| 0.65 | ≈ 49.4584° |
| 2/3 | ≈ 48.1897° |
| 0.7 | ≈ 45.5730° |
| √2/2 | 45° = π/4 |
| 3/4 | ≈ 41.4096° |