СИСТЕМА: X+Y=п/2 И sin^2x -sin^2y=1

y=π/2-xsiny=sin(π/2-x)=cosxx+y=π/2sin²x-sin²y=1  или  sin²x-cos²x=-(cos²x-sin²x)= - cos2x=1cos2x= -1    2x=π+2πk    x=π/2+πk   k∈Zy=π/2-π/2-πk = -πk   k∈Z