| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2022 |
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| Session | March |
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| Topic | Parametric equations |
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4 The parametric equations of a curve are
$$x = 1 - \cos \theta , \quad y = \cos \theta - \frac { 1 } { 4 } \cos 2 \theta$$
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = - 2 \sin ^ { 2 } \left( \frac { 1 } { 2 } \theta \right)\).