Numpy arccos – Python NumPy arccos() Function

NumPy arccos() Function:

Numpy arccos: The arc cosine i.e, inverse cosine of the array elements or a given value is calculated using this arccos() function of the NumPy module. The value returned will be in the range of 0 to 𝜋.

Syntax:

numpy.arccos(x, out=None)

Parameters

x: This is required. It is an array (array-like) having elements in the range [-1, 1] for which the arc cosine is calculated.

out: This is optional. It is the location where the result will be saved. It must have a shape that the inputs broadcast to if it is provided. If None or not given, a newly allocated array is returned.

Return Value: 

The arc cosine value of each element of x is returned.

NumPy arccos() Function in Python

Example1

Approach:

  • Import numpy module using the import keyword.
  • Pass some random list as an argument to the array() function to create an array.
  • Store it in a variable.
  • Print the above-given array.
  • Convert the above-given array angles into radians using the pi/180 of numpy module.
  • Store it in the same variable.
  • Pass the above radian angles array to the cos() function of the numpy module to get the cosine values of the given array angles.
  • Store it in another variable.
  • Pass the above cosine values array to the arccos() function of the numpy module to get the arc cosine(inverse cosine) values of the given array.
  • Store it in another variable.
  • Print the given array’s angles cosine values.
  • Print the given array’s angles inverse cosine values in radians.
  • Print the given array’s angles inverse cosine values in degrees by passing the above inverse cosine values to the degrees() function.
  • The Exit of the Program.

Below is the implementation:

# Import numpy module using the import keyword
import numpy as np
# Pass some random list as an argument to the array() function to
# create an array. 
# Store it in a variable.
gvn_arry = np.array([30, 45, 120, 180])
# Convert the above given array angles into radians using the pi/180 of 
# numpy module.
# Store it in the same variable.
gvn_arry = gvn_arry*np.pi/180
# Pass the above radian angles array to the cos() function of the 
# numpy module to get the cosine values of the given array angles
# Store it in another variable.
cosine_arry = np.cos(gvn_arry)
# Pass the above cosine values array to the arccos() function of the 
# numpy module to get the arc cosine values of the given array
inversecos_arry = np.arccos(cosine_arry)
# Print the given array's angles cosine values
print("The given array's angles cosine values:")
print(cosine_arry)
print()
# Print the given array's angles inverse cosine values in radians
print("The given array's angles inverse cosine values in radians:")
print(inversecos_arry)
print()
# Print the given array's angles inverse cosine values in degrees by 
# passing the above inverse cosine values to the degrees() function.
print("The given array's angles inverse cosine values in degrees:")
print(np.degrees(inversecos_arry))

Output:

The given array's angles cosine values:
[ 0.8660254 0.70710678 -0.5 -1. ]

The given array's angles inverse cosine values in radians:
[0.52359878 0.78539816 2.0943951 3.14159265]

The given array's angles inverse cosine values in degrees:
[ 30. 45. 120. 180.]

Example2

Approach:

  • Import numpy module using the import keyword.
  • Give the array as static input and store it in a variable.
  • Print the above-given array.
  • Pass the above given array as an argument to the arccos() function of the numpy module to get the arc cosine(inverse cosine) values of given array elements.
  • Store it in another variable.
  • Print the arc cosine(inverse cosine) values of given array elements.
  • The Exit of the Program.

Below is the implementation:

# Import numpy module using the import keyword
import numpy as np
# Give the array as static input and store it in a variable
gvn_arry = [1, 0.5, -0.2]                   
# Print the above given array.
print("The above given array is:")
print(gvn_arry)
# Pass the above given array as an argument to the arccos() function of the 
# numpy module to get the arc cosine(inverse cosine) values of 
# given array elements
# Store it in another variable.
invcos_arry = np.arccos(gvn_arry)   
# Print the arc cosine(inverse cosine) values of given array elements
print("The inverse cosine values of given array elements:")
print(invcos_arry)

Output:

The above given array is:
[1, 0.5, -0.2]
The inverse cosine values of given array elements:
[0. 1.04719755 1.77215425]