Arccos of 12/13
Arcsin, Arccos, Arctan, Arccot
What is arccos(12/13)?
Answer
arccos(12/13) ≈
22.6199° ≈ 0.3948 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(12/13) is the angle α in [0°, 180°] with cos α = 12/13.
cos 22.6199° ≈ 0.9231
α = arccos(12/13) ≈ 22.6199°
P ≈ (0.9231, 0.3846)
P lies on the line x = 12/13 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 12/13.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(12/13) | ≈ 67.3801° | ≈ 1.1760 |
| arccos(12/13) | ≈ 22.6199° | ≈ 0.3948 |
| arctan(12/13) | ≈ 42.7094° | ≈ 0.7454 |
| arccot(12/13) | ≈ 47.2906° | ≈ 0.8254 |
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 |
|---|---|
| 4/5 | ≈ 36.8699° |
| √3/2 | 30° = π/6 |
| 0.9 | ≈ 25.8419° |
| 12/13 | ≈ 22.6199° |
| 1 | 0° = 0 |
| 2 | does not exist |
| 60 | does not exist |
FAQ
What is arccos(12/13)?
arccos(12/13) ≈ 22.6199° ≈ 0.3948 rad
How to convert arccos(12/13) to radians?
Multiply the angle in degrees by π/180: 22.6199° × π/180 ≈ 0.3948 rad.
Why does a calculator show 0.3948 for arccos(12/13)?
The calculator is in radian mode (RAD) and gives the angle in radians: arccos(12/13) ≈ 0.3948 rad. In degrees (DEG) it is ≈ 22.6199°.
See Also
- 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 4/7 (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
- Arccot of 0.3 (Inverse Cotangent) in Degrees and Radians
- Арккосинус 12/13 (arccos 12/13) в градусах и радианах
- Arcocoseno de 12/13 (arccos 12/13) en grados y radianes
- Arco cosseno de 12/13 (arccos 12/13) em graus e radianos