How do you write the parametric equations represent the ellipse given by #x^2/9 + y^2/81=1#?

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Answer 1 · 2016-12-15T18:23:25

Write the equation in the standard form:

#x^2/a^2 + y^2/b^2 = 1#

Then the parametric equations are:

#x = (a)cos(t) and y = (b)sin(t); 0 <= t < 2pi#

The given equation in the above form is:

#x^2/3^2 + y^2/9^2 = 1#

Then parametric equations are:

#x = (3)cos(t) and y = (9)sin(t); 0 <= t < 2pi#