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Gaokao Math Practice Question

已知 $\alpha \in(0, \pi)$, 且 $3 \cos 2 \alpha-8 \cos \alpha=5$, 则 $\sin \alpha=(\qquad)$

  1. A.$\frac{\sqrt{5}}{3}$
  2. B.$\frac{2}{3}$
  3. C.$\frac{1}{3}$
  4. D.$\frac{\sqrt{5}}{9}$

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