so I did graph these two and I have couple of questions...

part 1) y=2 sin (2x) + 3 cos (2x)

and

part 2) y=2 sin (2x)

y=3 cos (2x)

How are the graphs from part 1 related to the graph in part 2 ?

Are the values for period and amplitude the same or different ?

Why do you think we see these results ???