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Math Help - Polar coordinates

  1. #1
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    Polar coordinates

    What would I have to do to change the polar coordinates of (5, [pi]) to rectangular coordinates?
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by amanda1 View Post
    What would I have to do to change the polar coordinates of (5, [pi]) to rectangular coordinates?
    for the rectangular coordinates (x,y), the corresponding polar coordinates are (r, @) ----------Note, @ means theta

    where
    x = rcos@
    y = rsin@

    r = sqrt(x^2 + y^2)
    @ = tan^-1(y/x)

    for the polar coordinates (5, [pi]), we have r = 5, @ = pi

    x = rcos@ = 5cos(pi) = -5
    y = rsin@ = 5sin(pi) = 0

    so polar coordinates (5,pi) = the rectangular coordinates (-5,0)

    so what did we learn here?

    To convert from polar coordinates to rectangular coordinates:
    remember polar coordinates are in the form (r,@), to get the corresponding (x,y) rectangular coordinates we use
    x = rcos@
    y = rsin@

    To convert from rectangular coordinates to polar coordinates:
    remember rectangular coordinates are in the form (x,y), to get the corresponding (r,@) polar coordinates we use
    r = sqrt(x^2 + y^2)
    @ = tan^-1(y/x)
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  3. #3
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    Thanks, that makes a lot of sense.

    Mandy
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