acosh() math function to get inverse hyperbolic cosine of x input number in radian in Python

acosh(x) returns inverse hyperbolic cosine of x , the input number x is in radian.

import math
print(math.acosh(1))       # 0.0
print(math.acosh(1.5))     # 0.9624236501192069
print(math.acosh(5))       # 2.2924316695611777

Note that all the inputs are in radian.
For any value less than 1 , we will get ValueError

import math
print(math.acosh(0.9))

Above code will generate error.

Inputs in degree

We can convert radian value to degree and use the same

import math
in_degree = 60
in_redian = math.radians(in_degree)
print(math.acosh(in_redian)) # 0.30604210861326536

Output

0.30604210861326536

1 radian = 57.2957914331 degree
1 degree = 0.0174533 radian

Drawing graph of acosh()

We will use Matplotlib to generate graph of acosh $acosh graph$

import matplotlib.pyplot as plt
x=[]
y=[]
i=1
while (i<=20):
    x.append(i)
    y.append(math.acosh(i))
    i=i+0.1
plt.plot(x,y)
plt.grid(linestyle='-',
    linewidth=0.5,color='#f1f1f1')
plt.show()

Example 1: Handling Invalid Input

import math
try:
    print(math.acosh(0.9))  # Will raise ValueError
except ValueError:
    print("Input must be greater than or equal to 1")

Example 2: Using acosh() in Physics

import math
velocity_factor = 2.0  # Hypothetical velocity factor
result = math.acosh(velocity_factor)
print(result)  # Output: 1.3169578969248166

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Subhendu Mohapatra

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