Answer:
The angle measure [tex]\frac{5\pi}{3}[/tex] has the same value as [tex]\frac{2\pi}{3}[/tex]
Step-by-step explanation:
[tex]tan(\theta)=tan(\pi+\theta)[/tex]
[tex]tan(\theta)=tan(\pi+\theta)[/tex]
so, here [tex]\theta=\frac{2\pi}{3}[/tex]
[tex]tan(\frac{2\pi}{3})=tan(\pi+\frac{2\pi}{3})[/tex]
[tex]tan(\frac{2\pi}{3})=tan(\frac{5\pi}{3})[/tex]
Hence, The angle measure [tex]\frac{5\pi}{3}[/tex] has the same value as [tex]\frac{2\pi}{3}[/tex]
