Parametric coordinates of parabola? Can $(a(\sin(t))^2 , 2a \sin(t))$ be the parametric coordinates of the parabola $y^2 = 4ax$ ?
I found that these coordinates satisfy the equation of the parabola but my friend says that although these satisfy the equation , these can not be the coordinates. Can any body give me an explanation for this?

Because of the limits on the output values of $\sin t$ you will only get part of the parabola, not the whole curve
