8. In this question you must show all stages of your working.
\section*{Solutions relying entirely on calculator technology are not acceptable.}
- Show that \(\sin 3 x\) can be written in the form
$$P \sin x + Q \sin ^ { 3 } x$$
where \(P\) and \(Q\) are constants to be found.
- Hence or otherwise, solve, for \(0 < \theta \leq 360 ^ { \circ }\), the equation
$$2 \sin 3 \theta = 5 \sin 2 \theta$$
giving your answers, in degrees, to one decimal place as appropriate.