The resultant curve would have the function which is sum of the considered sinusoidal curves.
What is a sinusoidal curve?
Suppose that we've got [tex]f(x) = a\sin(bx + c) + d[/tex]
This is the general form of sine function, and its graph is called sinusoidal curve.
It has got
- Amplitude or maximum height from average motion horizontal axis = a + d
- And thus, the minimum low from horizontal axis is –a + d (sin ranges from -1 to 1, and multiplying a to it make it range from -a to a).
- Period of wave: [tex]\dfrac{\2\pi}{b}[/tex]
- Phase shift (horizontal left shift) = c/b
- Horizontal line around which wave moves is: y = d
Since for this case, we don't have any graph given, we will construct two sine functions and plot their curves and curve of addition of those functions' values.
Let we have:
[tex]f(x) = 3\sin(2x)\\g(x) = 2\sin(x + 3)[/tex]
Their addition would be:
[tex]h(x) = f(x) + g(x) = 3\sin(2x) + 2\sin(x+3)[/tex]
Plotting all three graphs, we get the graph as attached below, where the red colored line is graph of f(x), greed colored line is graph of g(x) and blue colored line is graph of h(x).
Learn more about sine functions here:
https://brainly.com/question/12070030
