The solution set of $(5+4 \cos \theta)(2 \cos \theta+1)=0$ in the interval $[0, 2 \pi]$ is:

  • A
    $\left\{\frac{\pi}{3}, \frac{2 \pi}{3}\right\}$
  • B
    $\left\{\frac{\pi}{3}, \pi\right\}$
  • C
    $\left\{\frac{2 \pi}{3}, \frac{4 \pi}{3}\right\}$
  • D
    $\left\{\frac{2 \pi}{3}, \frac{5 \pi}{3}\right\}$

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