we have the function
[tex]y=\frac{1}{2}sin4\theta[/tex]
Remember that
The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2
In the general form of the equation of the sine
[tex]y=Asin(B(x+c))+D[/tex]
The amplitude is the factor A
so
In this problem
The amplitude is 1/2
using a graphing tool
Note that the amplitude is the height from the center line to the peak (the center line is the x-axis, so the distance is 0.5.
