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 |
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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--12-13">Arccos of 12/13 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of 12/13 (Inverse Cosine) in Degrees and Radians. arccos(12/13) ≈ 22.6199° ≈ 0.3948 rad: the angle in [0°, 180°] whose cosine is 12/13. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--12-13/generated.jpg)
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 |