SOLUTION: What is the relationship between the graph of f(x)=sin(x) and the graph of g(x)=sin (2x)?

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Question 1108668: What is the relationship between the graph of f(x)=sin(x) and the graph of g(x)=sin (2x)?
Answer by greenestamps(13210) About Me  (Show Source):
You can put this solution on YOUR website!


f(x) = sin(x) takes on all its values (completes one period) for 0+%3C=+x+%3C+2pi, so its period is 2pi.

g(x) = sin(2x) takes on all its values for 0+%3C=+2x+%3C+2pi, or 0+%3C=+x+%3C+pi, so its period is pi.

Another way to look at it is that f(x) completes one full cycle between 0 and 2pi while g(x) completes 2 full cycles in that interval.