WJEC Further Unit 1 2024 June — Question 1

Exam BoardWJEC
ModuleFurther Unit 1 (Further Unit 1)
Year2024
SessionJune
TopicComplex Numbers Arithmetic
TypeModulus-argument form conversions

  1. The complex numbers \(z , v\) and \(w\) are related by the equation
$$z = \frac { v } { w }$$ Given that \(v = - 16 + 11 \mathrm { i }\) and \(w = 5 + 2 \mathrm { i }\), find \(z\) in the form \(r ( \cos \theta + \mathrm { i } \sin \theta )\).