9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{44035bf8-f54c-472a-b969-b4fa4fa3d203-30_773_775_255_587}
\captionsetup{labelformat=empty}
\caption{Figure 5}
\end{figure}
In this question you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.
Figure 5 shows the curve with equation
$$y = \frac { 1 + 2 \cos x } { 1 + \sin x } \quad - \frac { \pi } { 2 } < x < \frac { 3 \pi } { 2 }$$
The point \(M\), shown in Figure 5, is the minimum point on the curve.
- Show that the \(x\) coordinate of \(M\) is a solution of the equation
$$2 \sin x + \cos x = - 2$$
- Hence find, to 3 significant figures, the \(x\) coordinate of \(M\).