Answer
Option C is correct.
Answer = (2π/3)
Explanation
We are asked to find the inverse sine of the number given
[tex]\begin{gathered} \text{ Sin}^{-1}(\frac{\sqrt[]{3}}{2}) \\ \frac{\sqrt[]{3}}{2}=0.8660 \\ \text{ Sin}^{-1}(0.8660)=60^{}\text{ degr}ees \end{gathered}[/tex]Since
180 degrees = 2π radians
60 degrees = (2π/3) radians
Hope this Helps!!!