This is, and has been, a great script.

Yesterday and today I spent considerable time trying to figure out why a math formula applied to angle A would not achieve the correct angle B.

I forgot that the Angle script reports in degrees.

Serendipitously, another problem was solved, via the extended DeMoivres formula, nth roots of unity.
(Fractional exponents of complex numbers, require an extended formula.)

So improvements to Angle script would be to display label "degrees",
as well as option to display "radians", kind of like circle display of "diam" vs "radius".
(I'll put it on my ToDo someday list:-)

- Brian