In [15]: x, y, z = symbols('xyz', real=True)
In [16]: exp(I*x).expand(complex=True)
Out[16]: I*sin(x) + cos(x)
In [17]: re(_)
Out[17]: re(cos(x))
In [18]: im(__)
Out[18]: im(cos(x)) + sin(x)
Obviously the output should have been cos(x) and sin(x) respectively.
I created an issuse for this http://code.google.com/p/sympy/issues/detail?id=644
Adding simple _eval_is_real for cos, tan, cot, atan, acot works but
for asin and acos, the domain is [-1,1]. I am wondering if SymPy
currently features assumption to limit a variable's range just as we
can assume it to be real, so that a variable x can be defined as real
in the range [-1,1].
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