Odredi sva rješenja sustava nejednadžbi (sinx+cosy+1)2⩾2(sinx+1)(cosy+1)(siny+cosz+1)2⩾2(siny+1)(cosz+1)(sinz+cosx+1)2⩾2(sinz+1)(cosx+1)\begin{aligned} (\sin x + \cos y + 1)^{2} &\geqslant 2(\sin x + 1)(\cos y + 1) \\ (\sin y + \cos z + 1)^{2} &\geqslant 2(\sin y + 1)(\cos z + 1) \\ (\sin z + \cos x + 1)^{2} &\geqslant 2(\sin z + 1)(\cos x + 1) \end{aligned}(sinx+cosy+1)2(siny+cosz+1)2(sinz+cosx+1)2⩾2(sinx+1)(cosy+1)⩾2(siny+1)(cosz+1)⩾2(sinz+1)(cosx+1) za koja vrijedi 0<x,y,z<π20 < x, y, z < \dfrac{\pi}{2}0<x,y,z<2π.