Edexcel CP2 2022 June — Question 1

Exam BoardEdexcel
ModuleCP2 (Core Pure 2)
Year2022
SessionJune
TopicComplex Numbers Argand & Loci

  1. A student was asked to answer the following:
For the complex numbers \(z _ { 1 } = 3 - 3 \mathrm { i }\) and \(z _ { 2 } = \sqrt { 3 } + \mathrm { i }\), find the value of \(\arg \left( \frac { z _ { 1 } } { z _ { 2 } } \right)\) The student's attempt is shown below.
\includegraphics[max width=\textwidth, alt={}, center]{33292670-3ad0-4125-a3bb-e4b7b21ed5f4-02_798_1109_534_338} The student made errors in line 1 and line 3
Correct the error that the student made in
    1. line 1
    2. line 3
  1. Write down the correct value of \(\arg \left( \frac { z _ { 1 } } { z _ { 2 } } \right)\)