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Find the Cartesian Form of ?

  1. Jan 1, 2013 #1
    Find the Cartesian Form of

    r(1+sinθ)=a



    I understand that:
    x=rcosθ
    y=rsinθ
    and r2=x2+y2


    I can get quite far to the point I end up with

    x2=a2-2ay

    I'm struggling to eliminate "a"...
     
  2. jcsd
  3. Jan 1, 2013 #2

    Dick

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    You can't eliminate a. I think you are already done.
     
  4. Jan 1, 2013 #3
    Okay...I've expressed my answer as:

    y=1/2[a-(x2/a)]

    Is that a better way to express it?
     
  5. Jan 1, 2013 #4

    haruspex

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    I feel it's slightly clearer as (a2-x2)/2a, but your answer is fine.
     
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