NumPy: Compute sine, cosine and tangent array of angles given in degrees

NumPy Mathematics: Exercise-21 with Solution

Write a NumPy program to compute the trigonometric sine, cosine and tangent array of angles given in degrees.

Sample Solution:

Python Code:

 # Importing the NumPy library
import numpy as np

# Computing the sine values for an array of angles given in degrees
print("sine: array of angles given in degrees")
print(np.sin(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.))

# Computing the cosine values for an array of angles given in degrees
print("cosine: array of angles given in degrees")
print(np.cos(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.))

# Computing the tangent values for an array of angles given in degrees
print("tangent: array of angles given in degrees")
print(np.tan(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.))

Sample Output:

sine: array of angles given in degrees                                 
[ 0.          0.5         0.70710678  0.8660254   1.        ]          
cosine: array of angles given in degrees                               
[  1.00000000e+00   8.66025404e-01   7.07106781e-01   5.00000000e-01   
   6.12323400e-17]                                                     
tangent: array of angles given in degrees                              
[  0.00000000e+00   5.77350269e-01   1.00000000e+00   1.73205081e+00   
   1.63312394e+16]

Explanation:

np.sin(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.) – Here np.sin() takes an array of angles in degrees, converts them to radians using the formula (angle * np.pi) / 180., and returns an array of their corresponding sine values.

np.cos(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.) – Here np.cos() takes an array of angles in degrees, converts them to radians using the formula (angle * np.pi) / 180., and returns an array of their corresponding cosine values.

np.tan(np.array((0., 30., 45., 60., 90.)) * np.pi / 180.) – np.tan() takes an array of angles in degrees, converts them to radians using the formula (angle * np.pi) / 180., and returns an array of their corresponding tangent values.

Pictorial Presentation:

Python-Numpy Code Editor:

Previous: Write a NumPy program to create a random array with 1000 elements and compute the average, variance, standard deviation of the array elements.

Next: Write a NumPy program to calculate inverse sine, inverse cosine, and inverse tangent for all elements in a given array.