So specifically to the 2 orthogonal waves. That boils down to 2 if maxwell’s laws.
One says a changing magnetic field creates an electric field.
Another says a changing electric field creates a magnetic field.
Well when you go from no magnetic field to having one that’s a change so now you create an electric field and that’s a change so that creates a magnetic field which is also a change and on and on. Light is a self propagating electromagnetic wave. In the illustration one part they are showing you is electric field component and the orthogonal sine wave is the corresponding magnetic field component.
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