SOLUTION: Convert the following rectangular coordinates to polar coordinates. Provide 2 variations, one with positive "r", and one with negative "r". (2, -2 sqrt(3)) I get r, but I can

Algebra ->  Trigonometry-basics -> SOLUTION: Convert the following rectangular coordinates to polar coordinates. Provide 2 variations, one with positive "r", and one with negative "r". (2, -2 sqrt(3)) I get r, but I can      Log On


   



Question 946646: Convert the following rectangular coordinates to polar coordinates. Provide 2 variations, one with positive "r", and one with negative "r".
(2, -2 sqrt(3))
I get r, but I can't figure out what theta is for each polar coordinate.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Convert the following rectangular coordinates to polar coordinates. Provide 2 variations, one with positive "r", and one with negative "r".
(2, -2 sqrt(3))
I get r, but I can't figure out what theta is for each polar coordinate.
----
r = sqrt[2^2 + (2sqrt(3))^2] = sqrt[4 + 12] = 4
----------
theta = arctan(-2sqrt(3)/2) = arctan(-sqrt(3)) = 120 degrees or 300 degrees
---------
Cheers,
Stan H.
---------------------