| Exam Board | OCR |
|---|---|
| Module | PURE |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Topic | Standard trigonometric equations |
| Type | Multiple independent equations — all direct solve |
| Difficulty | Moderate -0.8 Part (i) is a straightforward trigonometric equation requiring basic manipulation (sin θ = ±0.5) and recall of standard angles. Part (ii) requires understanding of the tan function's period and finding solutions for 3φ before dividing by 3, but still follows a standard procedure with no conceptual challenges. Both parts are routine exercises testing basic trig knowledge with minimal problem-solving demand. |
| Spec | 1.05g Exact trigonometric values: for standard angles1.05o Trigonometric equations: solve in given intervals |
\begin{enumerate}[label=(\roman*)]
\item Solve the equation $\sin^2\theta = 0.25$ for $0° \leq \theta < 360°$. [3]
\item In this question you must show detailed reasoning.
Solve the equation $\tan 3\phi = \sqrt{3}$ for $0° \leq \phi < 90°$. [3]
\end{enumerate}
\hfill \mbox{\textit{OCR PURE Q3 [6]}}