) Let z ∈ C, and let w = z − i /z + i .
(i) Evaluate w when z = 0, and when z = 1.
(ii) Let z = β where β ∈ R. Show that for any such z the corresponding w always has unit modulus.
(b) (i) Express the complex number z = 24 + 7i in polar form.
(ii) Find the four values of (24 + 7i) 1 4 in exponential form, and plot them on an Argand diagram.
