I noticed that dealing with complex numbers doesn't work as well as I
would expect. Simple example, how do you get  sage/maxima to perform
complex division

sage: 1/(1+I)

output 1/(1+I)

I couldn't find any way to simplify other than CC(1/(1+I)) which
probably isn't want you want.

also

It doesn't appear possible to expand complex exponentials into sines
and cosines.

For example

sage: e^(I/2) + e^(-I/2)

won't be simplified to a trig function

The maxima simplification command to do this has the obtuse name
demoivre.

 
Josh


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