| Exam Board | Edexcel |
|---|
| Module | FP2 (Further Pure Mathematics 2) |
|---|
| Topic | Complex Numbers Argand & Loci |
|---|
11.
$$z = 4 \left( \cos \frac { \pi } { 4 } + \mathrm { i } \sin \frac { \pi } { 4 } \right) , \text { and } w = 3 \left( \cos \frac { 2 \pi } { 3 } + \mathrm { i } \sin \frac { 2 \pi } { 3 } \right)$$
Express \(z w\) in the form \(r ( \cos \theta + \mathrm { i } \sin \theta ) , r > 0 , - \pi < \theta < \pi\).
[0pt]
[P4 January 2003 Qn 1]