Suppose a point has polar coordinates $(-6,-\frac{2\pi }{3})$, with the angle measured in radians.
Find two additional polar representations of the point.
Write each coordinate in simplest form with the angle in $[-2\pi ,2\pi ]$.

Step 1 ：Given a point with polar coordinates $(-6,-\frac{2\pi }{3})$, with the angle measured in radians.

Step 2 ：The polar coordinates of a point are given by $(r,\theta )$ where $r$ is the distance from the origin and $\theta$ is the angle from the positive x-axis.

Step 3 ：The polar coordinates are not unique. For example, adding $2\pi$ to the angle gives the same point. Also, if $r$ is negative, then we can get the same point by adding $\pi$ to the angle and taking the absolute value of $r$.

Step 4 ：In this case, we have $r=-6$ and $\theta =-\frac{2\pi }{3}$. We can get a new representation by adding $2\pi$ to the angle. This gives $\theta =-\frac{2\pi }{3}+2\pi =\frac{4\pi }{3}$.

Step 5 ：Since $r$ is negative, we can also get a new representation by adding $\pi$ to the angle and taking the absolute value of $r$. This gives $r=6$ and $\theta =-\frac{2\pi }{3}+\pi =\frac{\pi }{3}$.

Step 6 ：$\boxed{{\displaystyle \text{Final Answer: The two additional polar representations of the point are }(-6,\frac{4\pi }{3})\text{ and }(6,\frac{\pi }{3})}}$