Results 1 to 2 of 2

Math Help - eliminating the parameter to obtain an x-y equation

  1. #1
    Newbie
    Joined
    May 2009
    Posts
    7

    eliminating the parameter to obtain an x-y equation

    eliminate the parameter t to obtain an x-y equation from the two parametric equations: x=4cost and y=2sint
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,807
    Thanks
    116
    Quote Originally Posted by tomatoes View Post
    eliminate the parameter t to obtain an x-y equation from the two parametric equations: x=4cost and y=2sint
    1. You are supposed to know that \sin^2(t)+\cos^2(t)=1

    2. <br />
\begin{array}{l}x=4\cos(t)\\ y=2\sin(t)\end{array}~\implies~\begin{array}{l}\le  ft(\dfrac x4\right)^2=\cos^2(t)\\ \left( \dfrac y2\right)^2=\sin^2(t)\end{array}

    3. Now add columnwise:

    \dfrac{x^2}{16}+\dfrac{y^2}{4} = 1
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. eliminating parameter to find cartesian eq.
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 29th 2010, 02:08 AM
  2. Replies: 5
    Last Post: January 24th 2010, 06:45 PM
  3. Eliminating the parameter in parametric equations?
    Posted in the Trigonometry Forum
    Replies: 3
    Last Post: November 28th 2009, 01:31 PM
  4. Equation and parameter
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: July 31st 2009, 11:12 PM
  5. Replies: 3
    Last Post: April 28th 2007, 02:51 PM

Search Tags


/mathhelpforum @mathhelpforum