| Exam Board | OCR |
|---|---|
| Module | C3 (Core Mathematics 3) |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Reciprocal Trig & Identities |
| Type | Solve equation with reciprocal functions |
| Difficulty | Standard +0.3 This is a standard reciprocal trig equation requiring the Pythagorean identity cot²y + 1 = cosec²y to convert to a quadratic in cosec y, then solving and finding angles. It's slightly above average difficulty due to using less common reciprocal functions, but follows a routine procedure taught in C3 with no novel insight required. |
| Spec | 1.05h Reciprocal trig functions: sec, cosec, cot definitions and graphs1.05o Trigonometric equations: solve in given intervals |
3. Solve, for $0 \leq y \leq 360$, the equation
$$2 \cot ^ { 2 } y ^ { \circ } + 5 \operatorname { cosec } y ^ { \circ } + \operatorname { cosec } ^ { 2 } y ^ { \circ } = 0$$
\hfill \mbox{\textit{OCR C3 Q3 [6]}}