| Exam Board | OCR |
|---|
| Module | PURE |
|---|
| Topic | Trig Equations |
|---|
7
- Show that the equation
$$2 \sin x \tan x = \cos x + 5$$
can be expressed in the form
$$3 \cos ^ { 2 } x + 5 \cos x - 2 = 0$$
- Hence solve the equation
$$2 \sin 2 \theta \tan 2 \theta = \cos 2 \theta + 5$$
giving all values of \(\theta\) between \(0 ^ { \circ }\) and \(180 ^ { \circ }\), correct to 1 decimal place.