Arccos of 1/4
Arcsin, Arccos, Arctan, Arccot
What is arccos(1/4)?
Answer
arccos(1/4) ≈
75.5225° ≈ 1.3181 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.
1/4 = 0.25.
arccos(1/4) is the angle α in [0°, 180°] with cos α = 1/4.
cos 75.5225° ≈ 0.2500
α = arccos(1/4) ≈ 75.5225°
P ≈ (0.25, 0.9682)
P lies on the line x = 1/4 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 1/4.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(1/4) | ≈ 14.4775° | ≈ 0.2527 |
| arccos(1/4) | ≈ 75.5225° | ≈ 1.3181 |
| arctan(1/4) | ≈ 14.0362° | ≈ 0.2450 |
| arccot(1/4) | ≈ 75.9638° | ≈ 1.3258 |
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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--1-4">Arccos of 1/4 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of 1/4 (Inverse Cosine) in Degrees and Radians. arccos(1/4) ≈ 75.5225° ≈ 1.3181 rad: the angle in [0°, 180°] whose cosine is 1/4. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--1-4/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| 0.1 | ≈ 84.2608° |
| 0.14 | ≈ 81.9522° |
| 1/5 | ≈ 78.4630° |
| 1/4 | ≈ 75.5225° |
| 0.3 | ≈ 72.5424° |
| 1/3 | ≈ 70.5288° |
| 2/5 | ≈ 66.4218° |