| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2011 |
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| Session | November |
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| Topic | Parametric equations |
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2 The parametric equations of a curve are
$$x = 3 \left( 1 + \sin ^ { 2 } t \right) , \quad y = 2 \cos ^ { 3 } t$$
Find \(\frac { \mathrm { d } y } { \mathrm {~d} x }\) in terms of \(t\), simplifying your answer as far as possible.