| Exam Board | CAIE |
|---|
| Module | P3 (Pure Mathematics 3) |
|---|
| Year | 2022 |
|---|
| Session | November |
|---|
| Topic | Parametric equations |
|---|
4 The parametric equations of a curve are
$$x = 2 t - \tan t , \quad y = \ln ( \sin 2 t )$$
for \(0 < t < \frac { 1 } { 2 } \pi\).
Show that \(\frac { \mathrm { d } y } { \mathrm {~d} x } = \cot t\).