Question

Help! I dont know how to do polar coordinates.
Find all polar coordinates of point P where P = ordered pair (3, negative pi divided by 3).

Answer 1

if you add 360 degrees (or 2pi radians) to the angle, you will get the same point
in fact if you add *any* integer multiple of 2pi you get the same angle.
people show this by writing
\[ \left(3, -\frac{\pi}{3} + 2 \pi n \right) \text{ , n an integer}\]

Answer 2

can someone help

Answer 3

if you allow negative distances, then you can write
-3 for the distance, and compensate by add pi (180 degrees). And also any multiple of 2 pi, thus
\[ \left(-3, -\frac{\pi}{3} + 3 \pi n \right) \text{ , n an integer} \]

Answer 4

@phi can you help me

Answer 5

\[ \left(-3, -\frac{\pi}{3} + \pi+2 \pi n \right) \text{ , n an integer} \]

Answer 6

\[(3,\frac{- \pi }{ 3 }+2n \pi )=\left( r, \theta \right)\],where n is an integer