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SMO 2016 Senior Round 1 Question 18

SMO · SMO 2016 Senior Round 1

Question 18

Given that $\tan\alpha=1/3$ and $\tan\beta=3$. Find the value of $$\frac{3\sin(\alpha+\beta)-6\sin\alpha\cos\beta}{2\sin\alpha\sin\beta+\cos(\alpha+\beta)}.$$