- In this question you must show all stages of your working.
\section*{Solutions relying entirely on calculator technology are not acceptable.}
The complex number \(z\) is defined by
$$2 = - 3 + 4 i$$
- Determine \(\left| z ^ { 2 } - 3 \right|\)
- Express \(\frac { 50 } { z ^ { * } }\) in the form \(k z\), where \(k\) is a positive integer.
- Hence find the value of \(\arg \left( \frac { 50 } { z ^ { * } } \right)\)
Give your answer in radians to 3 significant figures.