Question 1180717
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Change these polar coordinates to rectangular coordinates: (6, 210°).
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<pre>
    (6,210°) = 6*(cos(210°) + i*sin(210°)) = {{{6*((-sqrt(3)/2) + i*(-1/2)))}}} = {{{-3*sqrt(3) - 3i}}}  &nbsp;&nbsp;in rectangular coordinate form &nbsp;&nbsp;a + bi.    <U>ANSWER</U>
</pre>

Solved.




Above, &nbsp;I treated it as if they are complex numbers;  &nbsp;but if they are not, &nbsp;then the transformation is &nbsp;&nbsp;THIS


<pre>
    (6,210°) = (6cos(210°), 6sin(210°)) = ({{{6*(-sqrt(3)/2)}}},{{{6*(-1/2)))}}}) = ({{{-3*sqrt(3)}}},{{{-3}}})  &nbsp;&nbsp;in rectangular coordinate form &nbsp;&nbsp;(x,y).    <U>ANSWER</U>
</pre>