Please help! will give brainlest! locks in 30 min!

Answer:
[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]
tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]
= [tex]\sqrt{3}[/tex]
hope this helps and is right!! p.s. i really need brainliest :)