Arccos of √3/2
Arcsin, Arccos, Arctan, Arccot
What is arccos(√3/2)?
Answer
arccos(√3/2) =
30° = π/6
Range: arccos x is an angle from 0° to 180°, so the answer is unique.
arccos(√3/2) is the angle α in [0°, 180°] with cos α = √3/2.
α = arccos(√3/2) = 30°
P(cos 30°, sin 30°) = (√3/2, 1/2)
P lies on the line x = √3/2 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = √3/2.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(√3/2) | 60° | π/3 |
| arccos(√3/2) | 30° | π/6 |
| arctan(√3/2) | ≈ 40.8934° | ≈ 0.7137 |
| arccot(√3/2) | ≈ 49.1066° | ≈ 0.8571 |
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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--sqrt3-2">Arccos of √3/2 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of √3/2 (Inverse Cosine) in Degrees and Radians. arccos(√3/2) = 30° = π/6: the angle in [0°, 180°] whose cosine is √3/2. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--sqrt3-2/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| √2/2 | 45° = π/4 |
| 3/4 | ≈ 41.4096° |
| 4/5 | ≈ 36.8699° |
| √3/2 | 30° = π/6 |
| 0.9 | ≈ 25.8419° |
| 12/13 | ≈ 22.6199° |
| 1 | 0° = 0 |