NumPy: Calculate hyperbolic sine, cosine, and tangent for all elements in a given array
Write a NumPy program to calculate hyperbolic sine, hyperbolic cosine, and hyperbolic tangent for all elements in a given array.
Sample Input: Input: Input: [-1., 0, 1.]
Sample Solution:
Python Code:
# Importing the NumPy library
import numpy as np
# Creating an array of values: [-1, 0, 1]
x = np.array([-1., 0, 1.])
# Computing hyperbolic sine (sinh) of each element in the array using np.sinh()
print(np.sinh(x))
# Computing hyperbolic cosine (cosh) of each element in the array using np.cosh()
print(np.cosh(x))
# Computing hyperbolic tangent (tanh) of each element in the array using np.tanh()
print(np.tanh(x))
Sample Output:
[-1.17520119 0. 1.17520119] [1.54308063 1. 1.54308063] [-0.76159416 0. 0.76159416]
Explanation:
x = np.array([-1., 0, 1.]): This code creates a NumPy array x with the values [-1., 0, 1.].
np.sinh(x) - The np.sinh(x) function calculates the hyperbolic sine of x, which is defined as (e^x - e^(-x))/2. For the given input, the output would be [-1.17520119e+00, 0.00000000e+00, 1.17520119e+00].
np.cosh(x) - The np.cosh(x) function calculates the hyperbolic cosine of x, which is defined as (e^x + e^(-x))/2. For the given input, the output would be [1.54308063, 1., 1.54308063].
np.tanh(x) - The np.tanh(x) function calculates the hyperbolic tangent of x, which is defined as sinh(x)/cosh(x). For the given input, the output would be [-0.76159416, 0., 0.76159416].
Python-Numpy Code Editor: