SOLUTION: Find the polar coordinates of the point whose rectangular coordinates are (-3,-3). When I tried this problem, I got (3sqrt2, pi/4). Thank you for your help!

Algebra ->  Trigonometry-basics -> SOLUTION: Find the polar coordinates of the point whose rectangular coordinates are (-3,-3). When I tried this problem, I got (3sqrt2, pi/4). Thank you for your help!      Log On


   

Question 860529: Find the polar coordinates of the point whose rectangular coordinates are (-3,-3). When I tried this problem, I got (3sqrt2, pi/4). Thank you for your help!
Found 2 solutions by Alan3354, KMST:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Find the polar coordinates of the point whose rectangular coordinates are (-3,-3). When I tried this problem, I got (3sqrt2, pi/4).
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It's in Q3
(3sqrt(2),5pi/4)

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The point (-3,-3) is in the third quadrant.
We know that r=sqrt%28x%5E2%2By%5E2%29 ,
and in this case that would be
r=sqrt%28%28-3%29%5E2%2B%28-3%29%5E2%29=sqrt%282%2A3%5E2%29=highlight%283sqrt%282%29%29 .
We also know that ,
so there are two angles in 0%3C=theta%3C2pi
that have tan%28theta%29=1 .
The one in the third quadrant is highlight%28theta=5pi%2F4%29