How to calculate arccosine in Python

To find the arccosine (arccos) in Python you can use the acos() function of the math module.

acos(x)

The parameter x is the cosine value of an angle θ measured in radians.

The function outputs the arccosine.

What is the arccosine? It is the inverse trigonometric function of the cosine, arccos = cos^-1. This function finds the amplitude of the angle that determines a particular cosine value.
representation of the arccosine

Examples

Example 1

Given a cosine cos θ equal 0.25, find the angle θ which determines it.

>>> from math import acos
>>> x=0.25
>>> acos(x)

The result of the acos() function is the arcsine

1.318116071652818

This value is the amplitude of the angle θ which determines the value cos θ = 0.25.

The angle θ measures 1.318116071652818 radians (approximately 75.52 °).

Verify

To verify the result, calculate the cosine of the angle 1.318116071652818

>>> from math import cos
>>> x= 1.318116071652818
>>> cos(x)

The result of the cos function is 0.25

0.25

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