| Exam Board | Edexcel |
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| Module | FP2 (Further Pure Mathematics 2) |
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| Year | 2004 |
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| Session | June |
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| Topic | Polar coordinates |
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5. (a) Sketch the curve with polar equation \(\quad r = 3 \cos 2 \theta , \quad - \frac { \pi } { 4 } \leq \theta < \frac { \pi } { 4 }\)
(b) Find the area of the smaller finite region enclosed between the curve and the half-line
$$\theta = \frac { \pi } { 6 }$$
(c) Find the exact distance between the two tangents which are parallel to the initial line.
(8)(Total 16 marks)