| Exam Board | OCR MEI |
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| Module | C4 (Core Mathematics 4) |
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| Year | 2010 |
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| Session | June |
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| Topic | Parametric equations |
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3 The parametric equations of a curve are
$$x = \cos 2 \theta , \quad y = \sin \theta \cos \theta \quad \text { for } 0 \leqslant \theta < \pi$$
Show that the cartesian equation of the curve is \(x ^ { 2 } + 4 y ^ { 2 } = 1\).
Sketch the curve.