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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, fi
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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W) 2,= 173 Z2 = 3-1 2+i (143 y- 3-i . (1-9461)(4-1) 6-2i+zit Zz 27 gi36-32 +81+2uit6 6+ 7+ -26+32i (-26+32; 32i) (7-3) 7+ (7+N А. о 2 ВоC) (cesetisino) = cos 40 + i sin 40 -) cosunget is in yox= cos a+ucos? (isinx) + 6eos (ision)? + y cosx (isinaß tri sina ja

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