How do you change the polar coordinate $(9, -pi/3)$ into rectangular coordinates?

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Answer 1 · 2016-12-01T18:09:31

$(4.5,-7.79)$

To convert from polar coordinate to rectangular coordinate we use the formula $x=rcos theta, y=rsin theta$

Hence,

$x=9cos (-(pi)/3)=4.5$

$y=9 sin (-(pi)/3)~~-7.79$

So the point is approximately $(4.5,-7.79)$

How do you change the polar coordinate (9, -pi/3)(9, -pi/3) into rectangular coordinates?