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By rewriting the equation $\cot \theta - \cot(\theta + 45^\circ) = 3$ as a quadratic in $\tan \theta$ first, solve it for $0^\circ < \theta < 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
By rewriting the equation $\cot \theta - \cot(\theta + 45^\circ) = 3$ as a quadratic in $\tan \theta$ first, 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 correct trig formula and form an equation in $\tan\theta$” …