| Exam Board | OCR |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2007 |
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| Session | June |
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| Topic | Polar coordinates |
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1 The equation of a curve, in polar coordinates, is
$$r = 2 \sin 3 \theta , \quad \text { for } 0 \leqslant \theta \leqslant \frac { 1 } { 3 } \pi .$$
Find the exact area of the region enclosed by the curve between \(\theta = 0\) and \(\theta = \frac { 1 } { 3 } \pi\).