and . Since you know that , that must mean is the equation of your ellipse.
Let γ : R → R2 be the plane curve given by γ(t) = (3 tanh t, 2 sech t). Show that the
image of γ is contained in an ellipse, and determine the equation of the ellipse. Is the
image the whole ellipse?
I can't work out where to start, the only thing I can think is that I have to use tanh^2 x + sech^2 x =1, but I'm not sure how ?!