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Math Help - Parametric Help

  1. #1
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    Parametric Help

    1. Eliminate the parameter to find a Cartesian equation of the curve with parametric equations:

    x=7cos(theta)
    y=5sin(theta)
    0 less than or equal to (theta) less than or equal to 2 pi

    I have no idea how to do this. I did what I thought was right. I have (theta)=arccos(x/7) and substituted that for theta in the y but it isn't right.

    2. Find parametric equations for the path of a particle that moves clockwise once around the circle:

    x^2 + (y-3)^2 = 4, starting at (2, 3).
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  2. #2
    Eater of Worlds
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    What did you get?. This?.

    y=5sin(cos^{-1}(x/7))=\frac{5\sqrt{49-x^{2}}}{7}
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  3. #3
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    How'd you get the 5*square root from the sin(arccos)?

    I got 5sin(arccos(x/7)).

    I mean I did the triangle, with sides x, 7, and Square root of 49-x^2.
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