它的直角坐标是:(-1,√3)。解析:横坐标x=ρcosα =2xcos(2π/3) =2x(-1/2) =-1,纵坐标y=ρsinα =2xsin(2π/3) =2x(√3/2) =√3。
x=2cos(2π/3)=-1,y=2sin(2π/3)=√3,所以A(-1,√3),为所求。