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Find all possible values of $\alpha$ and $\beta$.
Mathematics 9709 · AS & A Level · Algebra
Algebra — practice question
Angles $\alpha$ and $\beta$ are each between $0^\circ$ and $180^\circ$, and they satisfy $\tan(\alpha + \beta) = 2$ as well as $\tan \alpha = 3 \tan \beta$.
Worked solution & mark scheme
This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Use the correct $\tan(A+B)$ identity to set up an equation in $\tan\alpha$ and $\tan\beta$.” …
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