| Exam Board | Edexcel |
|---|
| Module | C2 (Core Mathematics 2) |
|---|
| Year | 2010 |
|---|
| Session | January |
|---|
| Topic | Trig Equations |
|---|
2. (a) Show that the equation
$$5 \sin x = 1 + 2 \cos ^ { 2 } x$$
can be written in the form
$$2 \sin ^ { 2 } x + 5 \sin x - 3 = 0$$
(b) Solve, for \(0 \leqslant x < 360 ^ { \circ }\),
$$2 \sin ^ { 2 } x + 5 \sin x - 3 = 0$$