| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 10 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.3 Part (a) is a straightforward calculator-based equation requiring inverse cosine and consideration of two solutions in the given range. Part (b) requires converting tan to sin/cos, rearranging to a quadratic in sin θ, and finding exact values—more conceptually demanding than routine but still a standard C2 exercise with clear methodology. Overall slightly easier than average due to the mechanical nature of part (a) and the well-practiced techniques in part (b). |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
| Answer | Marks | Guidance |
|---|---|---|
| 8 | 4.3 4.4, 4.5 | 5 |
Question 8:
8 | 4.3 4.4, 4.5 | 5 | 3 | 2 | 10\begin{enumerate}[label=(\alph*)]
\item Solve, for $0 \leq x < 360°$, the equation $\cos (x - 20°) = -0.437$, giving your answers to the nearest degree. [4]
\item Find the exact values of $\theta$ in the interval $0 \leq \theta < 360°$ for which
$$3 \tan \theta = 2 \cos \theta.$$ [6]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q8 [10]}}