Система: sin(x-y)=2sinxsiny x+y=п/2

x=π/2-y sin(π/2-2y)=2sin(π/2-y)*cosy -cos2y=2cos²y 2cos²у+cos2y=0 2cos²у+2cos²у-1=0 4cos²у=1 cos²у=1/4 cosу=1/2 или cosу=-1/2 для cosy=1/2 y1=π/3+2πn, n € Z y2=-π/3+2πn, n € Z для cos y=-1/2 y3=2π/3+2πn, n € Z y4=-2π/3+2πn, n € Z x1=π/2-π/3+2πn=π/6+2πn, n € Z x2=π/2+π/3+2πn=5π/6+2πn, n € Z x3=π/2-2π/3+2πn=-π/6+2πn, n € Z x4=π/2+2π/3+2πn=7π/6+2πn, n € Z