How do you find the rectangular coordinates given $(6, 150^o)$ ?

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Answer 1 · 2016-09-23T15:08:44

Rectangular coordinates are $(-3sqrt3,3)$

If polar coordinates are $(r,theta)$ ,

rectangular coordinates are $(rcostheta,rsintheta)$

As polar coordinates are $(6,150^o)$ ,

rectangular coordinates are $(6xxcos150^o,6sin150^o)$

or $(6xx-sqrt3/2,6xx1/2)$

or $(-3sqrt3,3)$

How do you find the rectangular coordinates given (6, 150^o)(6, 150^o)?