I have an ellipse given in parametric form (shown below). I need to find the tilt of the ellipse $\delta$. However, I only know 4 values on the ellipse: $y_{max} = A_y +B_y$, $x_{max} = A_x +B_x$, $y_{min} = A_y -B_y$, and $x_{min} = A_x -B_x$. How can I find $\delta$ in terms of these 4 values?
$$ x = A_x + B_x \cos(t) $$ $$ y = A_y + B_y \sin(t+\delta) $$
Edit: I also know the x,y value of each extreme point.