Calculus..

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5. Eliminate the parameter and write the corresponding rectangular equations: x=3-2sin theta and y=1+5 cos theta

  • Calculus.. -

    x = 3-2sinθ
    y = 1+5cosθ

    since sin^2θ+cos^2θ = 1,

    [(x-3)/2]^2 + [(y-1)/5]^2 = 1

    (x-3)^2/4 + (y-1)^2/25 = 1

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