| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.3 This question tests basic trigonometric equation solving with standard techniques. Part (a) requires converting secant to cosine and solving a simple equation. Part (b) uses the identity tan β = 7 cot β → tan²β = 7, which is straightforward. Both parts involve routine manipulation with no conceptual challenges, making this slightly easier than average for C3. |
| Spec | 1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\alph*)]
\item Solve, for $0° < \alpha < 180°$, the equation $\sec \frac{1}{2}\alpha = 4$. [3]
\item Solve, for $0° < \beta < 180°$, the equation $\tan \beta = 7 \cot \beta$. [4]
\end{enumerate}
\hfill \mbox{\textit{OCR C3 Q3 [7]}}