| Exam Board | Edexcel |
|---|
| Module | C2 (Core Mathematics 2) |
|---|
| Year | 2017 |
|---|
| Session | June |
|---|
| Topic | Trig Equations |
|---|
8. (a) Show that the equation
$$\cos ^ { 2 } x = 8 \sin ^ { 2 } x - 6 \sin x$$
can be written in the form
$$( 3 \sin x - 1 ) ^ { 2 } = 2$$
(b) Hence solve, for \(0 \leqslant x < 360 ^ { \circ }\),
$$\cos ^ { 2 } x = 8 \sin ^ { 2 } x - 6 \sin x$$
giving your answers to 2 decimal places.