page 10 MARKS 18. The complex number w has been plotted on an Argand diagram, as shown below. O w a Re Im (a) Express w in (i) Cartesian form (ii) polar form. (b) The complex number z1 is a root of z3 = w, where for integers k and m. Given that a = 4, (i) use de Moivre’s theorem to obtain the values of k and m, and (ii) find the remaining roots. [END OF QUESTION PAPER] 1 3 4 2 page 11 [BLANK PAGE] DO NOT WRITE ON THIS PAGE page 12 [BLANK PAGE] DO NOT WRITE ON THIS PAGE
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