Comment #5 on issue 2949 by someb...@bluewin.ch: trig functions do not return exact results for half angles
http://code.google.com/p/sympy/issues/detail?id=2949

A more complete routine to compute more (all) exact values for the
various trig. functions is on my todo plan. I think that the table lookup
currently used is not the best solution.

Do you have a good algorithmic approach?

As a limit on complexity we could just restrict the auto-evaluation to
the ones listed at:

http://en.wikipedia.org/wiki/Exact_trigonometric_constants

They all appear reasonably simple and provide exact results for
a wide range of angles.


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