Answer
Please see below.
Work Step by Step
To plot the point $(r, \theta )=(3, \frac{4\pi }{3})$, begin with the $\frac{4\pi }{3}$ angle. Because $\frac{4\pi }{3}$ is a positive angle, draw $\theta = \frac{4\pi }{3}$ counterclockwise from the polar axis. Now consider $r=3$. Because $r \gt 0$, plot the point by going out three units on the terminal side of $\theta$.