| Exam Board | CAIE |
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| Module | P3 (Pure Mathematics 3) |
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| Year | 2023 |
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| Session | June |
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| Topic | Parametric equations |
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4 The parametric equations of a curve are
$$x = \frac { \cos \theta } { 2 - \sin \theta } , \quad y = \theta + 2 \cos \theta$$
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = ( 2 - \sin \theta ) ^ { 2 }\).