Chris Angelico writes:

 > Hang on hang on, transcendental quantities are still finite. It may
 > take an infinite sequence to fully calculate them, but they are finite
 > values. We're not talking about pi here, we're talking about treating
 > "infinity" as a value. You can certainly do arithmetic on pi.

Arithmetic, yes, I guess, but not correct trigonometry:

>>> from math import tan, pi
>>> tan(pi/2)
1.633123935319537e+16

That's infinitely wrong in mathematics!  Or 293 orders of magnitude,
if you prefer IEEE, where inf == 1e309 :-)
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