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) _________________________________________________________________________...

Pearson Edexcel Level 3 GCE Time 1 hour 40 minutes Further Mathematics Advanced Subsidiary PAPER 1: Core Pure Mathematics You must have: Mathematical Formulae and Statistical Tables (Green), calculator Candidates may use any calculator allowed by Pearson regulations. Calculators must not have the facility for symbolic algebra manipulation, differentiation and integration, or have retrievable mathematical formulae stored in them. Instructions • If pencil is used for diagrams/ske...