Question

Find all polar coordinates of point P = (6,31°). Plz explain the steps :)

Answer 1

P = (6,31°) is already a polar coordinate.

In the notation (r, α) if you make r negative, it points in the opposite direction. If you add 180° to α you compensate for that.

Therefore (6,31°) = (-6,31°+180°) = (-6, 211°)

However, it is more usual to keep r positive.