Comment #1 on issue 3826 by [email protected]: trigsimp can't reverse tan double angle formula
http://code.google.com/p/sympy/issues/detail?id=3826

a workaround is

from sympy.simplify.fu import *
eq
2*tan(x)/(-tan(x)**2 + 1)
simplify(TR2(eq))
tan(2*x)


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