How to write arctg(ln z) in python?

Question

Python

How can you write arctg(ln z) in python. The expression below does not help.

import math
from cmath import arctan

Answer 1

Because there is no arctan function in cmath library. There is atan and log.

Answer 2

Maybe because it's called atan. Was it difficult to look into the documentation?
In general, at least study the dir function. For example,

import cmath
dir(cmath)

will output all functions from the given module.

Answer 3

>>> import cmath
>>> 
>>> z = 1+2j
>>> cmath.atan(cmath.log(z))
(1.033986973480417+0.5109415873513905j)
>>>