# and z2 = 1 1 + 3i 3-i a) Given that zı = find z such...

and z2 = 1 1 + 3i 3-i a) Given that zı = find z such that z = 2 + i 4- ¿ 22 Give your answer in the form of a + bi. Hence, find the modulus and argument of z, such that -- < arg(2) < 7. (6 marks) b) Given w = = -32, i. express w in polar form. (1 marks) ii. find all the roots of 2b = -32 in the form of a +ib. Show all he roots on an Argand diagram. (6 marks) c) Use de Moivre's theorem to show that cos 40 = 8 cos 0 - 8 cos0 +1. Hence solve 163-16x2 + 3 = 0. (7 marks)

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