What are the solutions to cosine of theta equals negative one half comma where 0 ≤ θ ≤ 2π?

Okay, here we have this:
Considering the provided information, we are going to analyze in the unit circle which angles satisfy the condition, so we obtain the following:
We obtain the following general solutions:
[tex]\theta=\frac{2\pi}{3}+2\pi n,\: \theta=\frac{4\pi}{3}+2\pi n[/tex]And those that fall within the defined interval are:
[tex]\theta=\frac{2\pi}{3},\: \theta=\frac{4\pi}{3}[/tex]Finally we obtain that the correct answer is the second option.