Suppose a point has polar coordinates $\left(-6,-\frac{2 \pi}{3}\right)$, 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 ：\(\boxed{\text{Final Answer: The two additional polar representations of the point are } (-6, \frac{4 \pi}{3}) \text{ and } (6, \frac{\pi}{3})}\)