Comment #1 on issue 1617 by smichr: tan(x)*cos(x) and cot(x)*sin(x) are not  
simplified
http://code.google.com/p/sympy/issues/detail?id=1617

In simplify/simplify.py, line 772, the patterns that are checked for are  
listed.
Right now there is only one for changing sin/cos to tan. You could probably  
add
patterns of the same type (with a power 'c') to take care of the cases you  
mentioned
as well as the cases of tan/sin and cot/cos, too.

Just ask if you have questions.

/c

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