| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 5 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Quadratic trigonometric equations |
| Type | Solve equation given in radians/exact form |
| Difficulty | Moderate -0.8 This is a straightforward quadratic in tan²θ requiring only rearrangement to tan²θ = 1/3, taking square roots, and finding four solutions in the given interval. It's simpler than average A-level questions as it involves minimal steps, no trigonometric identities, and is a standard textbook exercise with no problem-solving insight required. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}
\item Giving your answers in terms of $\pi$, solve the equation
\end{enumerate}
$$3 \tan ^ { 2 } \theta - 1 = 0 ,$$
for $\theta$ in the interval $- \pi \leq \theta \leq \pi$.\\
\hfill \mbox{\textit{OCR C2 Q1 [5]}}