If ∣z∣=1|z| = 1∣z∣=1 and z=x+yiz = x + yiz=x+yi, find the constraint on xxx and yyy.
x2+y2=1x^2 + y^2 = 1x2+y2=1
x+y=1x + y = 1x+y=1
x2−y2=1x^2 - y^2 = 1x2−y2=1
∣x∣+∣y∣=1|x| + |y| = 1∣x∣+∣y∣=1