Arccos of 4/7
Arcsin, Arccos, Arctan, Arccot
What is arccos(4/7)?
Answer
arccos(4/7) ≈
55.1501° ≈ 0.9626 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(4/7) is the angle α in [0°, 180°] with cos α = 4/7.
cos 55.1501° ≈ 0.5714
α = arccos(4/7) ≈ 55.1501°
P ≈ (0.5714, 0.8207)
P lies on the line x = 4/7 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 4/7.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(4/7) | ≈ 34.8499° | ≈ 0.6082 |
| arccos(4/7) | ≈ 55.1501° | ≈ 0.9626 |
| arctan(4/7) | ≈ 29.7449° | ≈ 0.5191 |
| arccot(4/7) | ≈ 60.2551° | ≈ 1.0517 |
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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--4-7">Arccos of 4/7 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of 4/7 (Inverse Cosine) in Degrees and Radians. arccos(4/7) ≈ 55.1501° ≈ 0.9626 rad: the angle in [0°, 180°] whose cosine is 4/7. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--4-7/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| 2/5 | ≈ 66.4218° |
| 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° |