| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 9 |
| Paper | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.8 This is a straightforward C2 trigonometric equations question requiring standard techniques: (a) involves a simple phase shift with two solutions in the given range, and (b) requires recognizing tan²θ = 4 means tan θ = ±2, then finding four solutions. Both parts are routine textbook exercises with no problem-solving insight needed, making this easier than average but not trivial since students must correctly identify all solutions in the interval. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\alph*)]
\item Find all the values of $\theta$, to 1 decimal place, in the interval $0° \leq \theta \leq 360°$ for which
$5 \sin (\theta + 30°) = 3$.
[4]
\item Find all the values of $\theta$, to 1 decimal place, in the interval $0° \leq \theta \leq 360°$ for which
$\tan^2 \theta = 4$.
[5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q8 [9]}}