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Solve $\tan(\theta - 60^\circ) = 3\cot\theta$ for $-90^\circ < \theta < 90^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Solve $\tan(\theta - 60^\circ) = 3\cot\theta$ for $-90^\circ < \theta < 90^\circ$.
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “State that $\dfrac{\tan\theta-\tan60}{1+\tan\theta\tan60}=\dfrac{3}{\tan\theta}$” …