Eliminate the parameter to find a Cartesian equation of the following curve: x(t) = cos^2 (6t), y(t) = sin^2(6t) Choose the answer from the

Question

Eliminate the parameter to find a Cartesian equation of the following curve: x(t) = cos^2 (6t), y(t) = sin^2(6t) Choose the answer from the following: y(x) = 1 + x y(x) = 1 – x y(x) = 1 – 6x

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Sadie 19 mins 2021-09-12T07:46:35+00:00 1 Answer 0

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    2021-09-12T07:47:53+00:00

    Answer:

    y(x) = 1 – x

    Step-by-step explanation:

    Given the two parametric equations:

      x(t)=cos^{2}(6t)   —(1)

     sin^{2}(6t) —-(2)

    We can add eq (1) and eq (2) and consider the trigonometric identity:

      cos^{2}(6t)+sin^(6t) = 1

    so,

       x+y=1

    in other way we  can express this like:

    [tex] y(x)=1-x [tex].

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