y in the cases
$x \in \{\infty, -\infty, \tilde{\infty}, 0, 1, -1\}$
and for some instances when the result is a rational multiple of $\pi$
(see the eval class method).

A purely imaginary argument will lead to an ``acoth`` expression.

``acot(x)`` has a branch cut along $(-i, i)$, hence it is discontinuous
at 0. Its range for real $x$ is $(-\frac{\pi}{2}, \frac{\pi}{2}]$.

Examples
========

>>> from sympy import acot, sqrt
>>> acot(0)
pi/2
>>> acot(1)
pi/4
>>> acot(sqrt(3) - 2)
-5*pi/12

See Also
========

sin, csc, cos, sec, tan, cot
asin, acsc, acos, asec, atan, atan2

References
==========

.. [1] https://dlmf.nist.gov/4.23
.. [2] https://functions.wolfram.com/ElementaryFunctions/ArcCot

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