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Converting polar and rectangular coordinates

  1. Jun 14, 2009 #1

    Entropee

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    So I know x=(r)cos(theta)
    and y=(r)sin(theta)

    As well as r^2 = x^2 + y^2
    And (theta)=tan^-1 y/x or sin^-1 y/r or cos^-1 x/r

    If I want to convert the polar coordinates (7.6 , 285(degrees)) to rectangular coordinates, to the nearest hundredth, what would I do?

    And also if I were converting the rectangular coordinates (2.4 , 1.8) to polar.


    So which variable is which in the coords? so i can plug these in and figure them out...
     
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  3. Jun 14, 2009 #2

    arildno

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    Put the particular values into their appropriate places in the given equations, and solve for/compute the desired quantities.
     
  4. Jun 14, 2009 #3

    Entropee

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    Is it (r , theta)
    or the other way around
     
  5. Jun 14, 2009 #4

    arildno

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    Conventionally, r is the first coordinate.
     
  6. Jun 14, 2009 #5
    If you're going from polar to rectangular for complex numbers, the x coordinate usually denotes the real part while the y coordinate denotes the imaginary part. Apart from that it's the same thing.
     
  7. Jun 14, 2009 #6

    Entropee

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    Thanks guys I think i got it :P
    This is the best website ever, cant wait to start college next year :P
     
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