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Parametric CurvesHELP

  1. Nov 18, 2004 #1
    URGENT help needed please.....

    I have been having problems with this problem...it says...
    A graph of the Lissajous figure is given by the paraetric equations:

    x=sin2t and y=cost

    Show that the curve has two tangents at the point (0,0) and find their equations

    Can someone please help me? ive been trying to figure this out for the past two days. I got the slope to be

    -sint/cos(2t)*2 im not sure where to go from there...so please..if anyone can help that would be fantastic. :confused:
    Last edited: Nov 18, 2004
  2. jcsd
  3. Nov 18, 2004 #2
  4. Nov 18, 2004 #3
    Origin means x=y=0. They are zero for t = pi/2 and -pi/2. For these you get two values of the slope, 1/2 and -1/2.

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