Edexcel FP1 2012 January — Question 1

Exam BoardEdexcel
ModuleFP1 (Further Pure Mathematics 1)
Year2012
SessionJanuary
TopicComplex Numbers Arithmetic
TypeMulti-part questions with division as one step
  1. Given that \(z _ { 1 } = 1 - \mathrm { i }\),
    1. find \(\arg \left( z _ { 1 } \right)\).
    Given also that \(z _ { 2 } = 3 + 4 \mathrm { i }\), find, in the form \(a + \mathrm { i } b , a , b \in \mathbb { R }\),
  2. \(z _ { 1 } z _ { 2 }\),
  3. \(\frac { z _ { 2 } } { z _ { 1 } }\). In part (b) and part (c) you must show all your working clearly.
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