| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.8 Part (a) is a straightforward application of knowing when cosine equals zero (90° and 270°), requiring simple angle manipulation. Part (b) involves using the inverse sine function and finding all solutions in the given range using symmetry, which is a standard C2 technique. Both parts are routine exercises with clear procedures and no problem-solving insight required, making this easier than average. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
Find all values of $\theta$ in the interval $0 \leq \theta < 360$ for which
\begin{enumerate}[label=(\alph*)]
\item $\cos(\theta + 75)^\circ = 0$. [3]
\item $\sin 2\theta^\circ = 0.7$, giving your answers to one decimal place. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [8]}}