SOLUTION: Find the polar coordinates of the point whose rectangular coordinates are (4sqrt3, -4). When I tried this problem, I got (8, 11pi/6). Thank you for your help!

Algebra ->  Trigonometry-basics -> SOLUTION: Find the polar coordinates of the point whose rectangular coordinates are (4sqrt3, -4). When I tried this problem, I got (8, 11pi/6). Thank you for your help!      Log On


   



Question 860531: Find the polar coordinates of the point whose rectangular coordinates are (4sqrt3, -4). When I tried this problem, I got (8, 11pi/6). Thank you for your help!
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Find the polar coordinates of the point whose rectangular coordinates are (4sqrt3, -4). When I tried this problem, I got (8, 11pi/6).
r = sqrt[(4sqrt(3))^2 + 4^2] = sqrt[64] = 8
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t = arctan(-4/(4sqrt(3)) = arctan(-1/sqrt(3) = 11pi/6 because
(4sqrt(3,-4) is in QIV.
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Cheers,
Stan H.
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