9.
\begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{bcbd842f-b2e2-4587-ab4c-15a57a449e5d-20_810_1214_255_427}
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\caption{Figure 3}
\end{figure}
Figure 3 shows part of the curve with equation \(y = 3 \cos x ^ { \circ }\).
The point \(P ( c , d )\) is a minimum point on the curve with \(c\) being the smallest negative value of \(x\) at which a minimum occurs.
- State the value of \(c\) and the value of \(d\).
- State the coordinates of the point to which \(P\) is mapped by the transformation which transforms the curve with equation \(y = 3 \cos x ^ { \circ }\) to the curve with equation
- \(y = 3 \cos \left( \frac { x ^ { \circ } } { 4 } \right)\)
- \(y = 3 \cos ( x - 36 ) ^ { \circ }\)
- Solve, for \(450 ^ { \circ } \leqslant \theta < 720 ^ { \circ }\),
$$3 \cos \theta = 8 \tan \theta$$
giving your solution to one decimal place.
In part (c) you must show all stages of your working.
Solutions relying entirely on calculator technology are not acceptable.