0606 P23 - Nov 2019 - Q6 - 6 marks
8381
Do not use a calculator in this question.
In the right-angled triangle, \(AB=3+\sqrt3\) and \(BC=3-\sqrt3\).
(i) Find \(\tan ACB\) in the form \(r+s\sqrt3\), where \(r\) and \(s\) are integers.
(ii) Find \(AC\) in the form \(t\sqrt u\), where \(t\) and \(u\) are integers and \(t\neq1\).
