| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trigonometric equations in context |
| Type | Reduce to quadratic in trig |
| Difficulty | Moderate -0.3 This is a straightforward C2 question requiring basic understanding of sine function properties and solving a simple trigonometric equation. Part (i) involves recognizing that max f(x) occurs when sin x is minimum (-1), giving a routine calculation. Part (ii) requires rearranging to find sin x = 2/3 and using a calculator to find angles in the given range—standard GCSE/AS-level technique with no conceptual challenges. |
| Spec | 1.05f Trigonometric function graphs: symmetries and periodicities1.05o Trigonometric equations: solve in given intervals |
4.
$$\mathrm { f } ( x ) = \frac { 4 } { 2 + \sin x ^ { \circ } }$$
(i) State the maximum value of $\mathrm { f } ( x )$ and the smallest positive value of $x$ for which $\mathrm { f } ( x )$ takes this value.\\
(ii) Solve the equation $\mathrm { f } ( x ) = 3$ for $0 \leq x \leq 360$, giving your answers to 1 decimal place.\\
\hfill \mbox{\textit{OCR C2 Q4 [7]}}