Given that

z1 = 3cos π3 + isin π3 z = 2cos12π − isin12π

(a)	write down the exact value of

(i)	| z1z2 |

(ii)	arg (z1z2)

(2) 	Given that w = z1z2 and that arg (wn) = 0 , where n  +

(b)	determine

(i)	the smallest positive value of n

(ii)	the corresponding value of | wn |

(3)

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