The attached notebook shows a small problem with exponent to trig form.
I have a simple expression like this:
In[32]:= a = Exp[(5 I \[Pi])/12]
Out[32]= E^((5 I \[Pi])/12)
If you try to convert this to trig form you get:
In[33]:= ExpToTrig[a]
Out[33]= (1/2 + I/2) Sqrt[3/2] - (1/2 - I/2)/Sqrt[2]
Which is correct, but for presentation purposes I would like to have it in this form:
\[Alpha](Cos(\[Beta]\[Pi])+i Sin(\[Beta]\[Pi]))
Is there a single command to do this? I can see a complicated structure, but I would like something simpler.
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