If given a point has the polar coordinates (12, 120*) what would the rectangular coordinates be? Does (-6, 6xsqrt 3) sound right or way off?
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Originally Posted by bemidjibasser If given a point has the polar coordinates (12, 120*) what would the rectangular coordinates be? Does (-6, 6xsqrt 3) sound right or way off? What working did you do to get your answer?
Originally Posted by bemidjibasser If given a point has the polar coordinates (12, 120*) what would the rectangular coordinates be? Does (-6, 6xsqrt 3) sound right or way off? Sounds right to me, because $\displaystyle 12\cdot\big(\cos(120^\circ)+i\sin(120^\circ)\big)= 12\cdot\Big(-\tfrac{1}{2}+i\tfrac{\sqrt{3}}{2}\Big)=12\cdot \left(-\tfrac{1}{2}+i\tfrac{\sqrt{3}}{2}\right)=-6+i6\sqrt{3}$
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