If z=a+biz = a + biz=a+bi with ∣z∣=1|z| = 1∣z∣=1, express 1z\frac{1}{z}z1 in terms of aaa and bbb.
a−bia - bia−bi
1a+bi\frac{1}{a+bi}a+bi1
a+bia + bia+bi
−a+bi-a + bi−a+bi