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sqrt(2) cos(x) = cos(y) + (cos(y))^3, sqrt(2) sin(x) = sin(y) - (sin(y))^3, a = sin(x-y)
sqrt(2) cos(x) = cos(y) + (cos(y))^3, sqrt(2) sin(x) = sin(y) - (sin(y))^3, a = sin(x-y)
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