SOLUTION: Give three pairs of polar coordinates for the point (-1,√3).

Algebra ->  Trigonometry-basics -> SOLUTION: Give three pairs of polar coordinates for the point (-1,√3).      Log On


   

Question 1138401: Give three pairs of polar coordinates for the point (-1,√3).
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


The given point is in quadrant II with magnitude 2 (sqrt%28%281%5E2%29%2Bsqrt%283%29%5E2%29+=+sqrt%284%29+=+2)

The primary angle is 120 degrees.

The polar coordinates can have either magnitude 2 with an angle of 120 degrees plus some multiple of 360 degrees, or a magnitude of -2 with an angle of 300 degrees (120 plus 180) plus some multiple of 360 degrees. So, for example...

(2,120 degrees)
(2,480 degrees)
(2,-240 degrees)
(-2,300 degrees)
(-2,-420 degrees)
(-2,1020 degrees)
etc...