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The Python cmath.atan() function is used to return arc tangent of a complex number. There are two branch cuts:

  • Extends from 1j along the imaginary axis to ∞j, continuous from the right.
  • Extends from -1j along the imaginary axis to -∞j, continuous from the left.

Syntax

cmath.atan(x)

Parameters

x Required. Specify the value.

Return Value

Returns the arc tangent of the value.

Example:

In the below example, atan() function is used to find out the arc tangent of a given complex number.

import cmath

x = 2 + 2j
y = 2
z = 2j

print(cmath.atan(x))
print(cmath.atan(y))
print(cmath.atan(z))

The output of the above code will be:

(1.311223269671635+0.23887786125685911j)
(1.1071487177940904+0j)
(1.5707963267948966+0.5493061443340549j)

❮ Python cMath Module