| Exam Board | SPS |
|---|---|
| Module | SPS FM (SPS FM) |
| Year | 2023 |
| Session | October |
| Marks | 6 |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.8 This is a straightforward two-part trigonometric equation question requiring standard techniques: (i) involves a simple substitution and finding angles in a restricted range, (ii) is a standard tan x = 3 conversion. Both are routine A-level exercises with no problem-solving insight required, making this easier than average but not trivial since students must handle range adjustments and multiple solutions correctly. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
Solve each of the following equations, for $0° < x < 360°$.
\begin{enumerate}[label=(\roman*)]
\item $\sin \frac{1}{2}x = 0.8$ [3]
\item $\sin x = 3 \cos x$ [3]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM 2023 Q2 [6]}}