| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2008 |
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| Session | November |
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| Topic | Parametric equations |
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4 The parametric equations of a curve are
$$x = a ( 2 \theta - \sin 2 \theta ) , \quad y = a ( 1 - \cos 2 \theta )$$
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \cot \theta\).