Last  night I was deriving the moment of inertia for a solid torus
using Sympy.  It mostly worked, except for the step where the
determinant of the Jacobian for the change of variables mapping was to
be computed, the result was unable to be simplified by trigsimp.  I
gave it a shot anyway, and it resulted in integrate() stalling on the
triple integral that is necessary.  Using other means to compute the
Jacobian of the determinant, then using that result in integrate()
resulted in the correct solution for the moment of inertia, which is
comforting, but at the same time, really makes me want to get trigsimp
to work better.

I know of the paper by Fu, Zhong, and Zeng, but I was wondering if
anybody had any other recommendations for approaches to trigonometric
simplification.  It would be really nice if this part of sympy worked
better.  If there is somebody else out there who would like to tackle
this together, let me know and we could figure out a reasonable
approach.

Thanks,
~Luke

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