How to Calculate the Inverse Tangent in Python

1. Use the arctan() Function From the NumPy Library to Calculate the Inverse Tangent in Python
2. Use the atan() Function From the SymPy Library to Calculate the Inverse Tangent in Python
3. Use the atan() Function From the Math Library to Calculate the Inverse Tangent in Python

In Python, one can perform many kinds of tasks, including mathematical operations like add, subtract, divide, and deal with matrices. Besides all these operations, you can also perform complex mathematical functions like trigonometric operations using many libraries and modules provided by Python.

This tutorial will show you methods of how to calculate the inverse tangent in Python.

Use the arctan() Function From the NumPy Library to Calculate the Inverse Tangent in Python

The NumPy library is widely used in Python. It helps you deal with arrays, matrices, linear algebra, and Fourier transforms. Additionally, the term NumPy stands for Numerical Python.

The NumPy library includes an operation known as the arctan() function, which is a mathematical function used to calculate the inverse tangent of elements in an array.

Example:

import numpy as np

array = [-1, 0, 0.5, 1]
print("Array: ", array)

Inv_Tan = np.arctan(array)
print("Inverse Tangent values of elements in the given Array : ", Inv_Tan)

Output:

Array:  [-1, 0, 0.5, 1]
Inverse Tangent values of elements in the given Array :  [-0.78539816  0.          0.46364761  0.78539816]

This function calculates the inverse tangent values of every element present in the input array.

Use the atan() Function From the SymPy Library to Calculate the Inverse Tangent in Python

The SymPy library of Python is an open-source library of Python used for symbolic mathematics and computer algebra.

The atan() function of the SymPy library is used for calculating the inverse tangent value of a given input value in Python. Check the example code below.

from sympy import *

inv_tan1 = atan(0)
inv_tan2 = atan(0.5)

print(inv_tan1)
print(inv_tan2)

Output:

0
0.463647609000806

Use the atan() Function From the Math Library to Calculate the Inverse Tangent in Python

Python’s Math library helps in performing complex mathematical problems by providing different mathematical constants and functions in Python.

The atan() function of the Math library is also used for calculating the inverse tangent value (between -PI/2 and PI/2) of a given input value in Python.

Example:

import math

print(math.atan(0))
print(math.atan(0.5))

Output:

0.0
0.46364760900080615