Updates:
        Labels: Simplify

Comment #9 on issue 2949 by [email protected]: trig functions do not return exact results for half angles
http://code.google.com/p/sympy/issues/detail?id=2949

Memoizing results is fine if it would otherwise be too slow (exponential time). See the @recurrence_memo decorator in sympy/utilities/memoization.py.

Regarding when to evaluate, how about evaluating when the result is simple, and otherwise only do it with trigsimp() or expand(trig=True) or expand(func=True) (not sure which of these should do it).

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