Question

For the function y=tan theta which angle measure has the same values as 2pi/3

Answer 1

tan(theta)=tan(pi+theta)

So your answer would be 5pi/3

Answer 2

The angle measure
`(5\pi)/(3)` has the same value as
`(2\pi)/(3)`

Explanation:

`tan(\theta)=tan(\pi+\theta)`

`tan(\theta)=tan(\pi+\theta)`

so, here
`\theta=(2\pi)/(3)`

`tan((2\pi)/(3))=tan(\pi+(2\pi)/(3))`

`tan((2\pi)/(3))=tan((5\pi)/(3))`

Hence, The angle measure
`(5\pi)/(3)` has the same value as
`(2\pi)/(3)`