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SMO 2009 Senior Round 1 Question 5

SMO · SMO 2009 Senior Round 1

Question 5

In a triangle $ABC$, $\sin A=\dfrac35$ and $\cos B=\dfrac5{13}$. Find $\cos C$.
  1. $\frac{56}{65}$ or $\frac{16}{65}$
  2. $\frac{56}{65}$
  3. $\frac{16}{65}$
  4. $-\frac{56}{65}$
  5. $\frac{56}{65}$ or $-\frac{16}{65}$