Results 1 to 2 of 2

Math Help - Tangents to Parametric Curves

  1. #1
    Member
    Joined
    Nov 2008
    Posts
    76

    Tangents to Parametric Curves

    The parametric curve:

    x(t) = 9cos(t)
    y(t) = 3sin(2t)

    intersects itself at which point? What are the two slopes to the tangent at this point?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Eater of Worlds
    galactus's Avatar
    Joined
    Jul 2006
    From
    Chaneysville, PA
    Posts
    3,001
    Thanks
    1
    Did you graph it?. You have a leminscate. It looks like the 'infinity' symbol.

    The slope is given by \frac{\frac{dy}{dt}}{\frac{dx}{dt}}=\frac{dy}{dx}

    y'(t)=6cos(2t)

    x'(t)=-9sin(t)

    \frac{6cos(2t)}{-9sin(t)}

    To find the slope at its intersection point, plug in t=\frac{\pi}{2}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Circular Curves and Tangents Lines
    Posted in the Algebra Forum
    Replies: 2
    Last Post: May 21st 2011, 03:32 AM
  2. Parametric tangents and normals
    Posted in the Geometry Forum
    Replies: 2
    Last Post: March 27th 2010, 05:09 PM
  3. Curves and tangents
    Posted in the Calculus Forum
    Replies: 6
    Last Post: October 3rd 2009, 12:49 AM
  4. Curves + Tangents
    Posted in the Calculus Forum
    Replies: 1
    Last Post: August 20th 2009, 03:11 AM
  5. Tangents - Parametric Equations
    Posted in the Calculus Forum
    Replies: 4
    Last Post: March 26th 2008, 04:55 PM

Search Tags


/mathhelpforum @mathhelpforum