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MathNet 2015-part-02 — 191 problems (EN–VI) Question 150

Math Olympiad Vault · MathNet 2015-part-02 — 191 problems (EN–VI)

Question 150

Angles $\alpha$ and $\beta$ are such that $\frac{\tan \alpha}{\tan \beta} = k \neq 1$. Express $\frac{\sin(\alpha+\beta)}{\sin(\alpha-\beta)}$ in terms of $k$.