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.

Related

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)
-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

Arccos Calculator Example

Angle (θ) Arccos(θ)
0 90°
0.5 60°
-0.5 120°
1
-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.