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Thread: parametrics question

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    parametrics question

    Hi,

    Stuck on this question:
    convert x=tanx-sinx and y=tanx+sinx to cartesian form.

    Thanks!

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    Senior Member integral95's Avatar
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    Re: parametrics question





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    Re: parametrics question

    Quote Originally Posted by integral95 View Post




    Umm if you try expanding and simplifying don't you get 0=0 which is saying we havent found a catesian relation?

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    Senior Member integral95's Avatar
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    Re: parametrics question

    Quote Originally Posted by mathsbrain View Post
    Umm if you try expanding and simplifying don't you get 0=0 which is saying we havent found a catesian relation?
    True that, you should change tan^2 to sin^2/cos^2 then simplify to get

    Then sub the equations from my 2nd line.
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    Re: parametrics question

    Here's another solution:



    i.e.



    It's also clear to see solving this equation with gives the point just as it would for the parametric form. Therefore this is a valid conversion.

    The graph of this equation is quite interesting.
    Last edited by fan96; 19 Mar 2019 at 7:41 PM.
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