Comment #4 on issue 3896 by [email protected]: sum of three-phase cos^2 or
cos^4 do not simplify to 3/2 and 9/8, respectively
http://code.google.com/p/sympy/issues/detail?id=3896
If you read the preamble to fu in fu.py and find the transform that
specifically does what you want, you can then do a targeted simplification.
Either TR8 or TR10 are good at preprocessing for you in the case of k=4:
simplify(FU['TR10'](eq))
9/8
simplify(FU['TR8'](eq))
9/8
You can find what will work like this:
for f in FU:
... if simplify(FU[f](eq)) == S(9)/8: print f
...
TR8
TR10
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