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Rewrite the equation $\cot 2\theta = 1 + \tan \theta$ as a quadratic in $\tan \theta$. Hence solve it for $0^{\circ} < \theta < 180^{\circ}$.
Mathematics 9709 · AS & A Level · Trigonometry
Rewrite the equation $\cot 2\theta = 1 + \tan \theta$ as a quadratic in $\tan \theta$. Hence solve it for $0^{\circ} < \theta < 180^{\circ}$.
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the $\tan 2A$ identity to produce an equation involving only $\tan\theta$” …