Comment #2 on issue 1617 by tan2tan2: tan(x)*cos(x) and cot(x)*sin(x) are  
not simplified
http://code.google.com/p/sympy/issues/detail?id=1617

Great, it's really helpful. The attached patch simplifies the following  
formula:

   a * tan(b)**c * cos(b)**c  -->  a * sin(b)**c
   a * cot(b)**c * sin(b)**c  -->  a * cos(b)**c
   a * tan(b)**c / sin(b)**c  -->  a / cos(b)**c
   a * cot(b)**c / cos(b)**c  -->  a / sin(b)**c

Attachments:
        simplify.patch  1.4 KB

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