# Question about graphing...please help!?

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• Apr 5th 2012, 12:08 PM
agape801
Question about graphing...please help!?
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 ???
• Apr 5th 2012, 01:14 PM
emakarov
Re: Question about graphing...please help!?
Quote:

Originally Posted by agape801
How are the graphs from part 1 related to the graph in part 2 ?

I am not sure what answer is expected, but I would say, "For each x, y1 and y2, the points (x, y1) and (x, y2) belong to the graphs from part 2 iff (x, y1 + y2) belongs to the graph from part 1."
Quote:

Originally Posted by agape801
Are the values for period and amplitude the same or different ?

Since you graphed the functions, what is your conjecture?
• Apr 5th 2012, 10:42 PM
biffboy
Re: Question about graphing...please help!?
2sin2x+3cos2x can be written in the form Rsin(2x+a) so amplitude=R and period same as for sin2x
Have you learnt how to find R and a?