This Problem Was Made In 2016

Geometry Level 5

\[\begin{cases} x^3+3x^2+2019x+2017=\sin^2\theta - \frac{1}{2} \\ y^3+3y^2+2019y+2017=\cos^2\theta - \frac{1}{2} \end{cases} \]

Given that \(x\), \(y\) and \(\theta\) (measured in radians) are real numbers satisfying the system of equations above, find the value of \(x+y\).

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