Mathematics 9709 · AS & A Level · Trigonometry

Trigonometry — practice question

(i)[2]

Prove that $\tan x + \frac{1}{\tan x} \equiv \frac{1}{\sin x \cos x}$.

(ii)[4]

Solve the equation $\frac{2}{\sin x \cos x} = 1 + 3\tan x$, for $0^\circ \leq x \leq 180^\circ$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies $\tan x = \frac{\sin x}{\cos x}$ correctly” …

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