Arccos of 3/4
Arcsin, Arccos, Arctan, Arccot
What is arccos(3/4)?
Answer
arccos(3/4) ≈
41.4096° ≈ 0.7227 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.
3/4 = 0.75.
arccos(3/4) is the angle α in [0°, 180°] with cos α = 3/4.
cos 41.4096° ≈ 0.7500
α = arccos(3/4) ≈ 41.4096°
P ≈ (0.75, 0.6614)
P lies on the line x = 3/4 in the upper half of the circle, where sin α ≥ 0; highlighted: cos α = 3/4.
| Function | Degrees | Radians |
|---|---|---|
| arcsin(3/4) | ≈ 48.5904° | ≈ 0.8481 |
| arccos(3/4) | ≈ 41.4096° | ≈ 0.7227 |
| arctan(3/4) | ≈ 36.8699° | ≈ 0.6435 |
| arccot(3/4) | ≈ 53.1301° | ≈ 0.9273 |
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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--3-4">Arccos of 3/4 (Inverse Cosine) in Degrees and Radians</a>Facebook
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![Arccos of 3/4 (Inverse Cosine) in Degrees and Radians. arccos(3/4) ≈ 41.4096° ≈ 0.7227 rad: the angle in [0°, 180°] whose cosine is 3/4. With the check and the unit circle.](https://calculat.io/en/number/inverse-trigonometry/arccos--3-4/generated.jpg)
Arccosine of nearby values
| x | arccos x |
|---|---|
| 2/3 | ≈ 48.1897° |
| 0.7 | ≈ 45.5730° |
| √2/2 | 45° = π/4 |
| 3/4 | ≈ 41.4096° |
| 4/5 | ≈ 36.8699° |
| √3/2 | 30° = π/6 |
| 0.9 | ≈ 25.8419° |