Question

h(t)=tan theta (5pie/3,3pie)
graph the function on the given interval

Answer 1

5 pi/3 = 300 degrees
3 pi = 540 degrees

so from -60 degrees around circle then to +180 degrees
pick some points and do it
be careful around 90 and 270 because tan is undefined along y axis

Answer 2

check your graph against this one:

http://www.wolframalpha.com/input/?i=tan%28x%29+for+5pi%2F3+%3C%3D+x+%3C%3D+3pi