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Start by casting the equation $\tan(x - 60^\circ) = 2\cot x$ into a quadratic in $\tan x$, then solve it for $0^\circ \leq x \leq 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Start by casting the equation $\tan(x - 60^\circ) = 2\cot x$ into a quadratic in $\tan x$, then solve it for $0^\circ \leq x \leq 180^\circ$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State the expression $\dfrac{\tan x-\sqrt3}{1+\sqrt3\tan x}$” …