| Exam Board | Edexcel |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Simple double angle equations (direct substitution) |
| Difficulty | Moderate -0.8 This is a straightforward trigonometric equation question requiring basic manipulation (dividing to get tan) and solving a linear equation in the double angle. Part (a) is immediate algebraic manipulation, and part (b) requires finding solutions in a given interval using calculator and periodicity—standard C2 content with no conceptual challenges beyond routine application of inverse tan and angle periodicity. |
| Spec | 1.05j Trigonometric identities: tan=sin/cos and sin^2+cos^2=11.05o Trigonometric equations: solve in given intervals |
Given that $2 \sin 2\theta = \cos 2\theta$,
\begin{enumerate}[label=(\alph*)]
\item show that $\tan 2\theta = 0.5$. [1]
\item Hence find the values of $\theta$, to one decimal place, in the interval $0 \leq \theta < 360$ for which $2 \sin 2\theta° = \cos 2\theta°$. [5]
\end{enumerate}
\hfill \mbox{\textit{Edexcel C2 Q3 [6]}}