Find all solutions (x,y)∈[0,2π)×[0,2π)(x, y)\in [0,2\pi)\times[0,2\pi) to the system of equations

cos⁡(x)cos⁡(y)−cos⁡(x)+cos⁡(y)−1=0\cos(x)\cos(y) - \cos(x) + \cos(y) - 1 = 0 xcos⁡(x)y2+πxcos⁡(x)y+πcos⁡(x)y2+π2cos⁡(x)y=0.x\cos(x)y^2 + \pi x\cos(x)y + \pi \cos(x)y^2 + \pi^2\cos(x)y = 0.
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