Thealternate sets of representations for the points A-F from the Figure.

Consider the point A, it lies on the angle ${\displaystyle \theta =\frac{\pi }{6}}$ and the distance AO is 4 units where O is the origin.
Therefore, the point A is represented by ${\displaystyle (4,\frac{\pi }{6})}$ in polar coordinate system.
Subtract ${\displaystyle 2\pi }$ from the angle to get the alternate solution.
Therefore, the point ${\displaystyle A(4,\frac{\pi }{6})}$ can also be represented by ${\displaystyle (4,\frac{\pi }{6}-2\pi )=(4,-\frac{11\pi }{6}).}$
Change the radial coordinate to -4 and add pi from the angle to obtain the other alternate solution. Thus, the point P ${\displaystyle (4,\frac{\pi }{6})}$ can be given by ${\displaystyle (-4,\frac{\pi }{6}+\pi )=(-4,\frac{7\pi }{6}).}$
Similarly, calculate the alternate representations for the points B to F and obtain the results as shown in the below table.

Hence, Alternate representation for the points A-F listed.