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SMO 2016 Senior Round 1 Question 5

SMO · SMO 2016 Senior Round 1

Question 5

Given that $\cos\alpha=12/13$, where $0^\circ\le\alpha\le 90^\circ$, and that $\tan\beta=3/4$, where $180^\circ\le\beta\le 270^\circ$. Find $\sin(\beta-\alpha)$.
  1. $-16/65$
  2. $16/65$
  3. $-56/65$
  4. $56/65$
  5. $33/65$