| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.8 This is a straightforward C2 trigonometric equation question requiring basic recall of solving methods. Part (a) involves a simple phase shift with cos = 0, and part (b) is a standard sin equation with a double angle requiring calculator use and consideration of two quadrants. Both are routine textbook exercises with no problem-solving insight needed. |
| Spec | 1.05l Double angle formulae: and compound angle formulae1.05o 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 $\cos (\theta + 75)° = 0$. [3]
\item $\sin 2\theta ° = 0.7$, giving your answers to one decimal place. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q1 [8]}}