## anonymous one year ago 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).

1. phi

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

2. is3535

can someone help

3. phi

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

4. is3535

@phi can you help me

5. phi

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

6. anonymous

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