Results 1 to 3 of 3

Math Help - Parametric equations

  1. #1
    Junior Member
    Joined
    May 2011
    Posts
    54

    Parametric equations

    I have just been doing an integration question where I was asked to use substitution y=2Asin^2(u/2). so now i have done the integration

    and got x-B=4A^{2}(u-sin(u)) and I need to show the parametric solution is

    y=A(1-cos(u)) and x=A(u-sin(u))+B

    Ok so if y=2Asin^2(u/2), then y=A(1-cos(u)) but how to get x?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor Amer's Avatar
    Joined
    May 2009
    From
    Jordan
    Posts
    1,093

    Re: Parametric equations

    I do not know if that work for you

    y = A ( 1- \cos u ) \Rightarrow u = \cos ^{-1} \left( 1 - \frac{y}{A}\right)

     x = A ( u - \sin u ) + B

    x = A \left[ \cos ^{-1} \left( 1 - \frac{y}{A}\right)  - \sin \left(\cos ^{-1} \left( 1 - \frac{y}{A}\right) \right)\right] + B

    it is better to post the whole question
    Follow Math Help Forum on Facebook and Google+

  3. #3
    MHF Contributor
    Jester's Avatar
    Joined
    Dec 2008
    From
    Conway AR
    Posts
    2,391
    Thanks
    55

    Re: Parametric equations

    Can you tell us how you got x in the first place?
    Last edited by Jester; January 8th 2012 at 10:56 AM.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Parametric Equations
    Posted in the Calculus Forum
    Replies: 34
    Last Post: May 11th 2011, 08:47 PM
  2. parametric equations, equations of plane
    Posted in the Calculus Forum
    Replies: 1
    Last Post: September 10th 2009, 03:58 AM
  3. Parametric equations to rectangular equations.
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 5th 2009, 11:39 PM
  4. Replies: 3
    Last Post: December 2nd 2008, 11:54 AM
  5. Replies: 1
    Last Post: September 1st 2007, 07:35 AM

Search Tags


/mathhelpforum @mathhelpforum