SOLUTION: Change these polar coordinates to rectangular coordinates: (6, 210°).

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Question 1180717: Change these polar coordinates to rectangular coordinates: (6, 210°).
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
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Change these polar coordinates to rectangular coordinates: (6, 210°).
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    (6,210°) = 6*(cos(210°) + i*sin(210°)) = 6%2A%28%28-sqrt%283%29%2F2%29+%2B+i%2A%28-1%2F2%29%29%29 = -3%2Asqrt%283%29+-+3i    in rectangular coordinate form   a + bi.    ANSWER

Solved.



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

    (6,210°) = (6cos(210°), 6sin(210°)) = (6%2A%28-sqrt%283%29%2F2%29,6%2A%28-1%2F2%29%29%29) = (-3%2Asqrt%283%29,-3)    in rectangular coordinate form   (x,y).    ANSWER