There are some significant upgrades to the trigsimp routine that are
available from

https://github.com/sympy/sympy/pull/772

Here is the pull request message:

Although a new trigsimp routine has been discussed, these
modifications may fill (more of) the gap until then. 6 new patterns
have been added; factoring and rewriting are used when necessary; 7
issues are dealt with in the process.

The test suite gets 4 seconds longer because of the new tests (one
that used to hang now solves in 3 seconds) and an additional 5 seconds
(1%) is added to the test suite runtime because of the more thorough
processing (it's always recursive now). Various permutations of
processing increased the suite time by 2 minutes and required over 10
seconds to solve the ode that used to hang, so the current code of
this request seems to be a good trade-off: a slightly longer run time
but more of what you expect from trigsimp.

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