| Exam Board | OCR |
|---|
| Module | C3 (Core Mathematics 3) |
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| Topic | Addition & Double Angle Formulae |
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7. (i) Prove that, for \(\cos x \neq 0\),
$$\sin 2 x - \tan x \equiv \tan x \cos 2 x$$
(ii) Hence, or otherwise, solve the equation
$$\sin 2 x - \tan x = 2 \cos 2 x$$
for \(x\) in the interval \(0 \leq x \leq 180 ^ { \circ }\).