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Express the equation $\tan(\theta + 45^\circ) - 2\tan(\theta - 45^\circ) = 4$ as a quadratic equation in $\tan\theta$. Hence solve it for $0^\circ \leq \theta \leq 180^\circ$.
Mathematics 9709 · AS & A Level · Trigonometry
Trigonometry — practice question
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the $\tan(A \pm B)$ formula to obtain an equation in $\tan\theta$” …
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