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 |
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 |
|---|---|
| 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° |
FAQ
What is arccos(4/7)?
arccos(4/7) ≈ 55.1501° ≈ 0.9626 rad
How to convert arccos(4/7) to radians?
Multiply the angle in degrees by π/180: 55.1501° × π/180 ≈ 0.9626 rad.
Why does a calculator show 0.9626 for arccos(4/7)?
The calculator is in radian mode (RAD) and gives the angle in radians: arccos(4/7) ≈ 0.9626 rad. In degrees (DEG) it is ≈ 55.1501°.
See Also
- Arccos of 1/2 (Inverse Cosine) in Degrees and Radians
- Arccos of 1/3 (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 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
- Arccos of √3/3 (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
- Арккосинус 4/7 (arccos 4/7) в градусах и радианах
- Arcocoseno de 4/7 (arccos 4/7) en grados y radianes
- Arco cosseno de 4/7 (arccos 4/7) em graus e radianos