# Get the Trigonometric inverse tangent of the array elements in Python

PythonNumpyServer Side ProgrammingProgramming

The arctan is a multi-valued function: for each x there are infinitely many numbers z such that tan(z) = x. # The inverse tangent is also known as atan or tan^{-1}.

The convention is to return the angle z whose real part lies in [-pi/2, pi/2]. 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 of the array elements, 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 array-like. 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. A tuple must have length equal to the number of outputs.

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 of the array elements. Array created using the numpy.array() method −

arr = np.array((1, -1, 0, 0.3))

Displaying our array −

print("Array...\n",arr)

Get the datatype −

print("\nArray datatype...\n",arr.dtype)


Get the dimensions of the Array −

print("\nArray Dimensions...\n",arr.ndim)

Get the number of elements of the Array −

print("\nNumber of elements in the Array...\n",arr.size)

Finding the Trigonometric inverse tangent of the array elements −

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

## Example

import numpy as np

# To find the Trigonometric inverse tangent of the array elements, use the numpy.arctan() method in Python Numpy
# The method returns the The inverse of tan, so that if y = tan(x) then x = arctan(y).

print("Get the Trigonometric inverse tangent of the array elements...\n")

# Array created using the numpy.array() method
arr = np.array((1, -1, 0, 0.3))

# Display the array
print("Array...\n", arr)

# Get the type of the array
print("\nOur Array type...\n", arr.dtype)

# Get the dimensions of the Array
print("\nOur Array Dimensions...\n",arr.ndim)

# Get the number of elements in the Array
print("\nNumber of elements...\n", arr.size)

# Finding the Trigonometric inverse tangent of the array elements
print("\nResult...",np.arctan(arr))

## Output

Get the Trigonometric inverse tangent of the array elements...

Array...
[ 1. -1. 0. 0.3]

Our Array type...
float64

Our Array Dimensions...
1

Number of elements...
4

Result... [ 0.78539816 -0.78539816 0. 0.29145679]
Updated on 28-Feb-2022 06:33:20