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Python math.sinh() Method

The Python math.sinh() method returns the hyperbolic sine of a given number.

The hyperbolic sine method, denoted as sinh(x), is a mathematical method that calculates the value of the sine of a complex number or a real number x. It returns real values that grow exponentially as x increases.

Mathematically, the hyperbolic sine method is defined as −

sinh(x) = (ex - e-x)/ 2

Where, e is the base of the natural logarithm, approximately equal to 2.71828. This method is odd, meaning that sinh(-x) = -sinh(X).

Following is the basic syntax of the Python math.sinh() method −

math.sinh(x)

This method accepts a number (all real number) for which you want to find the hyperbolic sine as a parameter.

The method returns the hyperbolic sine of the given number.

In the following example, we calculate the hyperbolic sine of a positive number using the math.sinh() method −

import math
x = 2.0
result = math.sinh(x)
print(result) 

The output obtained is as follows −

3.626860407847019

If we pass a fraction value to the math.sinh() method, it returns a real number −

import math
from fractions import Fraction
x = Fraction(5, -9)
result = math.sinh(x)
print(result) 

Following is the output of the above code −

-0.5845777889480125

In here, we are retrieving the hyperbolic sine of a negative number using the math.sinh() method −

import math
x = -0.5
result = math.sinh(x)
print(result)  

We get the output as shown below −

-0.5210953054937474

In this example, we use a loop to calculate the hyperbolic sine of multiple values using the math.sinh() method. The loop iterates through each value in the values list, calculates the hyperbolic sine, and prints the result for each value −

import math
values = [1.0, 2.0, 3.0]
for x in values:
   result = math.sinh(x)
   print("sinh({}) = {}".format(x, result))

The result produced is as shown below −

sinh(1.0) = 1.1752011936438014
sinh(2.0) = 3.626860407847019
sinh(3.0) = 10.017874927409903

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