Given :
[tex]P\text{ = (5, }\frac{-\pi}{6})[/tex]
Required: All polar coordinates of the given point
We can have the following points:
[tex]\begin{gathered} (5\text{ , }\frac{-\pi}{6}\text{ + 2n}\pi)\text{ or (-5 ,( }\pi-\frac{-\pi}{6}+\text{ 2n}\pi)\text{ )} \\ \text{This simplifies to } \\ (5\text{ , }\frac{-\pi}{6}\text{ + 2n}\pi)\text{ or (-5, (}\frac{-\pi}{6}\text{ + (2n + 1)}\pi) \end{gathered}[/tex]
The correct option is the third option
