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Math Help - Parametric equations on a deadline

  1. #1
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    Parametric equations on a deadline

    Hi. For these two sets of parametric equations, I need to describe the type of curve, starting point of particle, direction of motion, and behavior of particle.

    x=(sint)^2
    y=(cost)^2
    0 less than or equal to t less than or equal to 2

    (This isn't a circle, right? because x^2+y^2 does not equal 1)??

    x=(1-t^2)+(1+t^2)
    y=2t/(1+t^2)
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  2. #2
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    Quote Originally Posted by riverjib View Post
    Hi. For these two sets of parametric equations, I need to describe the type of curve, starting point of particle, direction of motion, and behavior of particle.

    x=(sint)^2
    y=(cost)^2
    0 less than or equal to t less than or equal to 2

    (This isn't a circle, right? because x^2+y^2 does not equal 1)??
    Correct.
    Note that,
    y=cos^2 t=1-sin^2 t=1-x
    Thus,
    x+y=1
    That is a line.
    x=(1-t^2)+(1+t^2)
    y=2t/(1+t^2)
    It was already explained in other thread.
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