Arccos Calculator
The Arccos(x) (inverse cosine) calculator is a tool that helps you find the angle in radians or degrees whose cosine is equal to a given value. It allows you to determine the angle measurement when you know the cosine of that angle.
Arccos definition
The Arccosine function is the inverse function of cos(x).
arccos(x) = cos-1(x)
For example, If the cosine of 60° is 0.5:
cos(60°) = 0.5
Then the arccos of 0.5 is 60°:
arccos(0.5) = cos-1(0.5) = 60°
Arccos table
| x | arccos(x) | |
|---|---|---|
| degrees | radians | |
| -1 | 180° | π |
| -0.8660254 | 150° | 5π/6 |
| -0.7071068 | 135° | 3π/4 |
| -0.5 | 120° | 2π/3 |
| 0 | 90° | π/2 |
| 0.5 | 60° | π/3 |
| 0.7071068 | 45° | π/4 |
| 0.8660254 | 30° | π/6 |
| 1 | 0° | 0 |
Arccos Calculator Example
| Angle (θ) | Arccos(θ) |
|---|---|
| 0 | 90° |
| 0.5 | 60° |
| -0.5 | 120° |
| 1 | 0° |
| -1 | 180° |
The arccos function (also known as inverse cosine function) returns the angle whose cosine is equal to a given value. It is commonly denoted as arccos(θ) or cos^(-1)(θ).
In this table, we have selected different values for θ and calculated their corresponding arccos(θ) values.
For example, when θ is 0, the arccos(0) is 90°. This means that the cosine of 90° is equal to 0.
Similarly, when θ is 0.5, the arccos(0.5) is 60°. This means that the cosine of 60° is equal to 0.5.
When θ is -0.5, the arccos(-0.5) is 120°. This means that the cosine of 120° is equal to -0.5.
When θ is 1, the arccos(1) is 0°. This means that the cosine of 0° is equal to 1.
When θ is -1, the arccos(-1) is 180°. This means that the cosine of 180° is equal to -1.
Please note that the angles in this table are given in degrees, and the values can be converted to radians if needed by multiplying by π/180.
