(a) look at these the complex numbers z1 = ? ? 3 + i and z2 =3cis(?/4). write the following complex numbers in polar form,writing your answers in principal argument:
i. z1
ii. z1/|z1|. Additionally, convert only this answer intoCartesian form.
iii. z1z2
iv. z2/z1
v. (z1) -3
vi. All complex numbers w that satisfy w 3 = z1.
(b) On an Argand diagram, sketch the subset S of the complexplane defined by S = {z ? C : |z ? i| ? 1, |z + 2 ? 3i| ? |z ? 2 +i|}.
