Symbol Z*. The quantity given by Z*=x−iy, when the complex number Z is given by Z=x+iy. The polar form of Z* is rcosθ−irsinθ. In the Argand diagram the complex conjugate of a complex number is a reflection of the complex number about the real axis. The sum and product of Z and Z* satisfy Z+Z*=2x, ZZ*=x2+y2.