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Question: Maple and Mathematica with an equation

With Maple, I tried

solve(sin(Pi*(x+1)/(4*x^2-4*x+2))=cos(Pi*(x-2)/(4*x^2-4*x+2)),x);

And I got

Warning, solutions may have been lost

RootOf(-sin(1/2*Pi*(_Z+1)/(2*_Z^2-2*_Z+1))+cos(1/2*Pi*(_Z-2)/(2*_Z^2-2*_Z+1)))

With Mathematica

Reduce[Sin[(x + 1) \[Pi]/(4 x^2 - 4 x + 2)] == Cos[(x - 2) \[Pi]/(4 x^2 - 4 x + 2)], x, Reals]

I got all solutions.

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