Sum-to-Product Identity Exploration
Follow the steps below:
(To graph, input the functions in the input bar)
1. Graph f(x)=sin(3x) and g(x)=sin(x)
Compare/contrast the two graphs in terms of their frequencies.
2. Graph h(x)=sin(3x)+sin(x).
What can you conclude on the sum of the two frequencies based on their illustrations?
3. Graph p(x)=2sin(2x)cos(x)
Compare/contrast the graphs of h(x) and p(x).