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If you do much symbolic manipulation you should read about Sage's subsystem Maxima. There is however a catch with your case.
sage: ex=atan(sin(1/5*pi)/cos(1/5*pi, hold=True))
sage: m=ex.maxima_methods()
sage: m.trigreduce()
1/5*pi
The problem is that cos(pi/5) gets immediately simplified to (sqrt(5)+1)/4 in Sage before Maxima can be called. This can be prevented by saying cos(pi/5,hold=True).
