Comment #4 on issue 3204 by [email protected]: Simplifying of the sum of tan(x) and cot(x)**-1.
http://code.google.com/p/sympy/issues/detail?id=3204

@Chris, there isn't any correct rule even for tan/cot. This is what I am getting --

trigsimp(tanh(x) - 1/coth(x))
0

trigsimp(3*tan(x)**7 - 2/cot(x)**7)
3*tan(x)**7 - 2/cot(x)**7

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