9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{50ec901b-b6b6-4b72-85bd-a084f313c99b-20_671_856_303_548}
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\caption{Figure 5}
\end{figure}
Figure 5 shows a sketch of part of the curve \(C\) with equation \(y = \sin \left( \frac { x } { 12 } \right)\), where \(x\) is measured in radians. The point \(M\) shown in Figure 5 is a minimum point on \(C\).
- State the period of \(C\).
- State the coordinates of \(M\).
The smallest positive solution of the equation \(\sin \left( \frac { x } { 12 } \right) = k\), where \(k\) is a constant, is \(\alpha\). Find, in terms of \(\alpha\),
- the negative solution of the equation \(\sin \left( \frac { x } { 12 } \right) = k\) that is closest to zero,
- the smallest positive solution of the equation \(\cos \left( \frac { x } { 12 } \right) = k\).