| Exam Board | OCR |
|---|---|
| Module | C2 (Core Mathematics 2) |
| Marks | 8 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Trig Graphs & Exact Values |
| Type | Solve using quadratic in trig function |
| Difficulty | Standard +0.3 This is a standard C2 trigonometric equation requiring the Pythagorean identity to convert to a quadratic in cos x, then solving the quadratic and finding angles. It's slightly above average difficulty due to the algebraic manipulation needed, but follows a well-practiced procedure with no novel insight required. |
| Spec | 1.05o Trigonometric equations: solve in given intervals |
4. Find all values of $x$ in the interval $0 \leq x < 360 ^ { \circ }$ for which
$$2 \sin ^ { 2 } x - 2 \cos x - \cos ^ { 2 } x = 1$$
giving non-exact answers to 1 decimal place.\\
\hfill \mbox{\textit{OCR C2 Q4 [8]}}