How can you compare the period and amplitude between 15sin4x

Solution

y1 = 1.5sin(4x)

This is of the form y = Asin(B(x - c)) + D

By comparing, we get :
A1 = 1.5
B = 4
Period, p1 = 2pi/B
Period, P1 = 2pi/4
PEriod, P1 = pi/2

So, the first curve has
Amplitude = 1.5
Period = pi/2

------------------------------------------------------------------------------

y2 = sin(x)

By comparing with y= Asin(B(x-C)) + D, we get
A = 1 and B = 1

So, period = 2pi/B
Period, P2 = 2pi/1
P2 = 2pi

------------------------------------------------------------------------------

So, comparison is like this :

Amplitude of first curve = 1.5
Amplitude of second curve = 1

Period of first curve = pi/2 radians
Period of second curve = 2pi radians