q4 a simplify each of the following complex numbers expressing your an
Q4 (a) Simplify each of the following complex numbers, expressing your
answers in Cartesian form:
(ii) i / 2+i
(b) Using de Moivre's Theorem, and without using a calculator, show that
(1 - i)^1066 = -(2^k)i,
where k is a positive integer to be stated.
(c) Find the cube roots of 4i, expressing your answers in the form
z = 2^p e^qi,
where p and q are rational numbers to be stated, with -1 <q≤1.
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