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Math Help - Cartesian Co-ordinates

  1. #1
    Newbie
    Joined
    May 2010
    Posts
    5

    Unhappy Cartesian Co-ordinates

    I'm really struggling with this question
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  2. #2
    Newbie
    Joined
    Aug 2007
    Posts
    21
    Hey.

    Cartesian Co-ords are the the one on the (x,y) graphs that you regularly work with.

    Where polar Co-ords where each point is referenced from a fixed point and a angle (r, \theta )

    So to convert between them there is a formula.
    x = r cos ( \theta )
    y = r sin ( \theta )
    r = \sqrt{y^2 + x^2}

    So with 2a
    your answer would be (2cos( \pi /3),2sin ( \pi /3))

    Then
    2b
    r = \sqrt{2^2 + 2^2}
    \theta = tan 2/2

    I Used tan because I personally find it easier to visualise in my head. the co-ord is 2 along the x and 2 along the y direction.

    ( \sqrt{8},45^\circ )
    Also you can simply convert the 45 degrees to radians if needed.

    2 c,d I have never seen those before So I'll let someone more experienced to help there.
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