Question

Find all Polar coordinates of point P where P= (5,-π/6)

Answer 1

Given :

`P\text{ = (5, }(-\pi)/(6))`

Required: All polar coordinates of the given point

We can have the following points:

`\begin{gathered} (5\text{ , }(-\pi)/(6)\text{ + 2n}\pi)\text{ or (-5 ,( }\pi-(-\pi)/(6)+\text{ 2n}\pi)\text{ )} \\ \text{This simplifies to } \\ (5\text{ , }(-\pi)/(6)\text{ + 2n}\pi)\text{ or (-5, (}(-\pi)/(6)\text{ + (2n + 1)}\pi) \end{gathered}`

The correct option is the third option