I wonder why this doesn't work as expected: assume(x+y < %pi/2); assume(x+y > -%pi/2); atan(tan(x+y)); It reduces to: atan(tan(x+y)) i.e. not at all. I would have expected it to reduce to: x+y
Try triginverses. (%i9) atan (tan (x + y)); (%o9) atan(tan(y + x)) (%i10) %, triginverses=all; (%o10) y + x
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