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Math Help - Another trig/polar form question...

  1. #1
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    Question Another trig/polar form question...

    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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  2. #2
    Super Member craig's Avatar
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    Quote Originally Posted by bemidjibasser View Post
    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?
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  3. #3
    Super Member Failure's Avatar
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    Quote Originally Posted by bemidjibasser View Post
    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

    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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