How to calculate cotangent in python

To calculate the cotangent in Python you can use the trigonometric function cot() of the mpmath module.

from mpmath import cot
cot(x)

The parameter x is the angle in radians.

The cot() function returns the cotangent of the angle.

What is the cotangent? In trigonometry the cotangent is the ratio between the cosine and the sine. The cotangent tends to infinity at an angle equal to zero. It is nothing in a 90 ° angle.

Alternative methods

The cotangent can also be calculated using the inverse of the tangent

from math import tan
print(1/tan(x))

Alternatively, using the ratio of the cosine to the sine.

from math import cos,sin
print(cos(x)/sin(x))

Examples

Example 1

To calculate the cotangent of an angle of 45 °

from math import radians
from mpmath import cot
x=radians(45)
cot(x)

The radians () function converts the angle measurement from sexagesimal to radians.

The cot() function calculates the cotangent.

mpf('1.0')

The cotangent of an angle of 45 ° is equal to 1.

Example 2

The same result can be obtained by calculating the inverse of the tangent.

from math import tan
x=radians(45)
print(1/tan(x))

The output is as follows

mpf('1.0000000000000002')

Example 3

The cotangent can also be calculated as the ratio between the cosine and sine trigonometric functions of the same angle.

from math import cos,sin
x=radians(45)
print(cos(x)/sin(x))

The output is

1.0