The usual pictorial notation is the in X-Z Plane we have Sin Wave as E and in Y-Z plane Cos Wave as M, with E and M Amplitude Normalized with constants = 1.
The other usual equation for E and M as wave is the usual Wave Equation.
But if you look at the Maxwell Equations with Curl X B = D E/ d t and Curl X E = - D B / d t.
The curl usually signifies axial vector (circular rotation) and E/B are radial vectors and the D / dt is rate of change of these fields.
In my understanding the above Sin wave in one plane and Cos wave in another plane does not bear well, as their time derivative gives each other (save some constants in factors). The curl of these functions would also give each other. So in order for Maxwell Equations to be true, the Space based Curls would be equal to Time based Derivatives and if multiplied by c, then that looks fine.
My point is that the X-Z and Y-Z planes would always be space-time projections of photon/wave tracing a cork screw helical pattern.
And there will be two such helical traces, one for B and one for E. They will be of different sizes.
Can anyone add to that?