6 In Fig. 6, \(\mathrm { ABC } , \mathrm { ACD }\) and AED are right-angled triangles and \(\mathrm { BC } = 1\) unit. Angles CAB and CAD are \(\theta\) and \(\phi\) respectively.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{9bceee25-35bd-448b-a4a2-1a5667be5f11-03_440_524_504_753}
\captionsetup{labelformat=empty}
\caption{Fig. 6}
\end{figure}
- Find AC and AD in terms of \(\theta\) and \(\phi\).
- Hence show that \(\mathrm { DE } = 1 + \frac { \tan \phi } { \tan \theta }\).
Section B (36 marks)