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21 October, 06:18

Janet is drawing the path formed by the parametric equations x=2+3 sin t and y=1-1/2cos t. Which curve did she draw?

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  1. 21 October, 10:07
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    Sin²t + cos²t = 1

    x=2+3 sin t

    sin t = (x-2) / 3

    y=1-1/2cos t

    y-1 = - (cos t) / 2

    cos t = - (y-1) / (1/2)

    (x-2) ²/3² + (y-1) ² / (1/2) ² = 1

    Ellipse
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