Theory If ∣z∣=1|z|=1∣z∣=1 then zzˉ=1z\bar z=1zzˉ=1 and hence: zˉ=1z\bar z=\frac{1}{z}zˉ=z1 Also: ∣w∣2=wwˉ|w|^2=w\bar w∣w∣2=wwˉ This helps compare moduli by expanding products.