How do you convert the polar coordinate $(- 9.028, - 0.663)$ $(-9.028 , -0.663)$ into rectangular coordinates?

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Answer 1 · 2016-12-02T17:45:40

$(- 7.12, 5.56)$ $(-7.12,5.56)$

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

Hence,

$x = - 9.028 cos (- .663) \approx - 7.12$ $x=-9.028cos (-.663)~~-7.12$

$y = - 9.028 sin (- 0.663) \approx 5.56$ $y=-9.028 sin (-0.663)~~5.56$

So the point is approximately $(- 7.12, 5.56)$ $(-7.12,5.56)$

How do you convert the polar coordinate (−9.028,−0.663)(-9.028 , -0.663) into rectangular coordinates?