Thanks for the great explanation. Just wonder if you think I should memorize the EM spectrum as I believe that it is not provided by data booklet. Thank you!
The electric field and magnetic field are NOT in phase. They do NOT exist simultaneously. This theoretical problem has exist for over 150 years and it seems that even when experiment proves theory incorrect (see 2012 article) we still don't change it. This theoretical "unification" of the electric and magnetic field is the reason we don't have a Theory of Everything today. It is also the reason we have infinities in our mathematics. Read The Feynman Lectures on Physics Volume II (Chapter 28) to get a better idea of this problem which was never resolved. He doesn't speak of the phase of the electric and magnetic fields, rather he discusses the self energy problem which is related to this concept.
Ultimately I need to teach this material as the IB physics curriculum tests on it, and that involves decisions the creators of the curriculum made to simplify some of it!