- In this question you must show detailed reasoning.
Solutions relying entirely on calculator technology are not acceptable.
- Solve, for \(0 \leq x < 360 ^ { \circ }\), the equation
$$\sin x \tan x = 5$$
giving your answers to one decimal place.
- \begin{figure}[h]
\includegraphics[alt={},max width=\textwidth]{8b616e3c-db87-430e-91c1-63a24e2f9593-24_641_732_778_680}
\captionsetup{labelformat=empty}
\caption{Figure 1}
\end{figure}
Figure 1 shows a sketch of part of the curve with equation
$$y = A \sin \left( 2 \theta - \frac { 3 \pi } { 8 } \right) + 2$$
where \(A\) is a constant and \(\theta\) is measured in radians.
The points \(P , Q\) and \(R\) lie on the curve and are shown in Figure 1.
Given that the \(y\) coordinate of \(P\) is 7
(a) state the value of \(A\),
(b) find the exact coordinates of \(Q\),
(c) find the value of \(\theta\) at \(R\), giving your answer to 3 significant figures.