| Exam Board | CAIE |
|---|
| Module | P3 (Pure Mathematics 3) |
|---|
| Year | 2020 |
|---|
| Session | November |
|---|
| Topic | Parametric equations |
|---|
3 The parametric equations of a curve are
$$x = 3 - \cos 2 \theta , \quad y = 2 \theta + \sin 2 \theta$$
for \(0 < \theta < \frac { 1 } { 2 } \pi\).
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \cot \theta\).