| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2014 |
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| Session | November |
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| Topic | Parametric equations |
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2 A curve is defined for \(0 < \theta < \frac { 1 } { 2 } \pi\) by the parametric equations
$$x = \tan \theta , \quad y = 2 \cos ^ { 2 } \theta \sin \theta$$
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = 6 \cos ^ { 5 } \theta - 4 \cos ^ { 3 } \theta\).