| Exam Board | Edexcel |
|---|
| Module | C12 (Core Mathematics 1 & 2) |
|---|
| Year | 2016 |
|---|
| Session | January |
|---|
| Topic | Trig Equations |
|---|
8. (a) Given that \(7 \sin x = 3 \cos x\), find the exact value of \(\tan x\).
(b) Hence solve for \(0 \leqslant \theta < 360 ^ { \circ }\)
$$7 \sin \left( 2 \theta + 30 ^ { \circ } \right) = 3 \cos \left( 2 \theta + 30 ^ { \circ } \right)$$
giving your answers to one decimal place.
(Solutions based entirely on graphical or numerical methods are not acceptable.)