Core Pure Mathematics

AQA

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Core Pure Mathematics
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32

April 2022

2021/2022

A+
Given that z1 = 3cos   π3 + isin   π3  z = 2cos12π  − isin12π  (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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