| Exam Board | OCR |
| Module | Further Pure Core 1 (Further Pure Core 1) |
| Session | Specimen |
| Topic | Polar coordinates |
3 In this question you must show detailed reasoning.
The diagram below shows the curve \(r = 2 \cos 4 \theta\) for \(- k \pi \leq \theta \leq k \pi\) where \(k\) is a constant to be determined.
Calculate the exact area enclosed by the curve.