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2021 AMC 12B Question 13

AMC12 · 2021 AMC 12B

Question 13

How many values of $\theta$ in the interval $0\lt\theta\le 2\pi$ satisfy the following equation? $$
1-3\sin\theta+5\cos 3\theta=0
$$
  1. $2$
  2. $4$
  3. $5$
  4. $6$
  5. $8$