ANSWER:
D. √3/2
STEP-BY-STEP EXPLANATION:
We have the following expression:
[tex]\tan\theta=-\sqrt{3}[/tex]
Determine the angle to then evaluate in sine just like this:
[tex]\begin{gathered} \theta=\tan^{-1}(-\sqrt{3}) \\ \\ \theta=120\degree \\ \\ \text{ Therefore:} \\ \\ \sin120\degree=\frac{\sqrt{3}}{2} \end{gathered}[/tex]
Therefore, the correct answer is option D. √3/2
