Get the Trigonometric inverse tangent in Python

The arctan is a multi-valued function: for each x there are infinitely many numbers z such that tan(z) = x. The convention is to return the angle z whose real part lies in [-pi/2, pi/2]. The inverse tangent is also known as atan or tan^{-1}.

For real-valued input data types, arctan always returns real output. For each value that cannot be expressed as a real number or infinity, it yields nan and sets the invalid floating point error flag. For complex-valued input, arctan is a complex analytic function that has [1j, infj] and [-1j, -infj] as branch cuts, and is continuous from the left on the former and from the right on the latter.

To find the Trigonometric inverse tangent, use the numpy.arctan() method in Python Numpy. The method returns the inverse of tan, so that if y = tan(x) then x = arctan(y). The 1st parameter is arraylike. The 2nd and 3rd parameters are optional. The 2nd parameter is an ndarray, A location into which the result is stored. If provided, it must have a shape that the inputs broadcast to. If not provided or None, a freshly-allocated array is returned. The 3rd parameter is the condition is broadcast over the input. At locations where the condition is True, the out array will be set to the ufunc result. Elsewhere, the out array will retain its original value.

Steps

At first, import the required library −

import numpy as np

Get the Trigonometric inverse tangent. Finding arctan for 1 −

print("\nResult...",np.arctan(1))

Finding arctan for -1 −

print("\nResult...",np.arctan(-1))

Finding arctan for 0 −

print("\nResult...",np.arctan(0))

Finding arctan for 0.3 −

print("\nResult...",np.arctan(0.3))

Example

import numpy as np

# To find the Trigonometric inverse tangent, use the numpy.arctan() method in Python Numpy
# The method returns the inverse of tan, so that if y = tan(x) then x = arctan(y).
# A tuple (possible only as a keyword argument) must have length equal to the number of outputs.

print("Get the Trigonometric inverse tangent...")

# finding arctan for 1
print("\nResult...",np.arctan(1))

# finding arctan for -1
print("\nResult...",np.arctan(-1))

# finding arctan for 0
print("\nResult...",np.arctan(0))

# finding arctan for 0.3
print("\nResult...",np.arctan(0.3))

Output

Get the Trigonometric inverse tangent...

Result... 0.7853981633974483

Result... -0.7853981633974483

Result... 0.0

Result... 0.2914567944778671