Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[2]

Demonstrate that the equation $2\sin x \tan x + 3 = 0$ can be rewritten as $2\cos^2 x - 3\cos x - 2 = 0$.

(ii)[3]

Determine the solutions of $2\sin x \tan x + 3 = 0$ for $0^\circ \leq x \leq 360^\circ$.

Worked solution & mark scheme

This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: Substitutes $\tan x=\dfrac{\sin x}{\cos x}$.

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