I have the parametric equation of an ellipse in this form:
It's an ellipse centred about the origin, with a tilt angle. So three parameters.
How can I convert it to the form:
i.e. the ellipse formula with a rotation through $\Phi$? I obviously need to get $A$, $B$, and $\Phi$ in terms of $a$, $b$ and $\phi$, but I can't see how to do it.