| Exam Board | Edexcel |
| Module | C3 (Core Mathematics 3) |
| Year | 2012 |
| Session | January |
| Topic | Implicit equations and differentiation |
4. The point \(P\) is the point on the curve \(x = 2 \tan \left( y + \frac { \pi } { 12 } \right)\) with \(y\)-coordinate \(\frac { \pi } { 4 }\).
Find an equation of the normal to the curve at \(P\).