An ellipse is generated parametrically using sine and cosine. When a = b, the ellipse is the special case of a circle.

vector(x,y)=vector(a*cos(2*pi*t),b*sin(2*pi*t))

a=slider([0,4])

b=slider([0,4])

vector(a*cos(2*pi*n),b*sin(2*pi*n))

Graph of the formula

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