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SMO 2019 Senior Round 1 Question 5

SMO · SMO 2019 Senior Round 1

Question 5

Suppose that $\sin x=\frac{12}{13}$ and $\cos y=-\frac45$, where $0^\circ\le x\le90^\circ$ and $90^\circ\le y\le180^\circ$. Find the value of $\cos(x+y)$.
  1. $-\frac{56}{65}$
  2. $\frac{56}{65}$
  3. $-\frac{16}{65}$
  4. $\frac{16}{65}$
  5. None of the above