Question 1138310

Find all polar coordinates of point {{{P}}} where {{{P}}} = ({{{5}}} , {{{-pi /6}}} ). 

There are two sets of possibilities.

(1) Same (positive) magnitude and an angle that is the same as the given angle, or differs from the given angle by an even multiple of {{{pi}}}:

{{{P}}} = ({{{5}}}, {{{-pi/6+2n*pi}}} )


(2) Opposite (negative) magnitude and an angle that differs from the given angle by an odd multiple of {{{pi}}}:
({{{-5}}}, {{{-pi/6+(2n+1)pi}}})

answer is: ({{{5}}},{{{-pi/6 + 2n*pi}}}) or ({{{-5}}}, {{{-pi/6+(2n+1)pi}}})