\(\arg z\), giving your answer in radians to 2 decimal places.
Given that \(\frac { z } { 1 + \mathrm { i } } + w = 3 - 6 \mathrm { i }\)
find the complex number \(w\), giving your answer in the form \(a + b \mathrm { i }\), where \(a\) and \(b\) are real numbers. You must show all your working.
Show the points representing \(z\) and \(w\) on a single Argand diagram.