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SMO 2022 Senior Round 1 Question 5

SMO · SMO 2022 Senior Round 1

Question 5

Suppose $\sin(180^\circ+x)=-\dfrac79$, where $450^\circ\lt x\lt 540^\circ$. Find $\sin(2x)$.
  1. $\dfrac{49}{81}\sqrt2$
  2. $\dfrac{56}{81}\sqrt2$
  3. $-\dfrac{56}{81}$
  4. $-\dfrac{49}{81}\sqrt2$
  5. $-\dfrac{56}{81}\sqrt2$