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Math Help - Question about graphing...please help!?

  1. #1
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    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 ???
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  2. #2
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    Re: Question about graphing...please help!?

    Quote Originally Posted by agape801 View Post
    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 View Post
    Are the values for period and amplitude the same or different ?
    Since you graphed the functions, what is your conjecture?
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  3. #3
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    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?
    Thanks from a tutor
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