Figure is shown for graph of y=1.5sin4x
The equation of sin function is given as [tex]y=Asin(\frac{2\pi}{T} x )[/tex]
Where A is Amplitude of function and T is Time period
Given sin function is [tex]y=1.5sin(4x )[/tex]
A) Compare the amplitude of y=1.5sin(4x) to the amplitude of y=sin x
Ans
In y=sin x, Amplitude is 1 unit
In y=1.5sin4x, Amplitude is 1.5 unit
B) compare the period of y=1.5sin(4x) to the period of y=sinx
In y=sin x, Time period is
[tex]\frac{2\pi}{T} x =x[/tex]
T = [tex]2\pi[/tex]
In y=1.5sin4x, Time period is
[tex]\frac{2\pi}{T} x =4x[/tex]
[tex]T =\frac{2\pi}{4}[/tex]
[tex]T=\frac{\pi}{2}[/tex]
C) Plot the graph for 2 period
Shown in figure.
