let sinA = x + cosA
x = sinA - cosA
x^2 = sin^2 A - 2sinAcosA + cos^2 A
x^2 = 1 - 2sinAcosA
x^2 = 1 - sin 2A
x = +/- sqrt(1-sin(2A)), |sin 2A| <= 1
not sure if that is what you want.
Since I squared the equation, any (A,x) would have to be verified
sinA=.....+cosA
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