Python atanh – Find Hyperbolic Arctangent of Number Using math.atanh()

To find the hyperbolic arctangent of a number, we can use the Python atanh() function from the math module.

import math

math.atanh(x)

In Python, we can easily use trigonometric functions with the Python math module. The Python math module allows us to perform trigonometry easily and in addition to regular trigonometry, we have access to the hyperbolic trigonometry functions.

With the Python math module, we can find the hyperbolic arctangent of a number easily.

To find the hyperbolic arctangent of a number, we can use the Python atanh() function from the math module.

Below is the Python syntax to find the hyperbolic arctangent of a number.

import math

math.atanh(x)

The input to the atanh() function must be a numeric value between -1 and 1. The return value will be a numeric value.

import math

print(math.atanh(0.5))
print(math.atanh(0))
print(math.atanh(-0.75))

#Output: 
0.5493061443340549
0.0
-0.9729550745276566

Finding the Inverse Hyperbolic Tangent of a Number in Python

The Python math module also provides us trigonometric functions to find the inverses of the common trigonometric functions. The atanh() function allows us to find the inverse of the hyperbolic tangent of a number.

Below, we show that if we pass a number to tanh() and then call the Python atanh() function, we get back the same number.

import math

print(math.atanh(math.tanh(10)))

#Output: 
10.0

Hopefully this article has been beneficial for you to understand how to use the math atanh() function in Python to find the hyperbolic arctangent of a number.