Consider the following sine wave: s(t) = 4sin(2π3t + π)
a. what is the amplitude?
b. what is the frequency?
c. what is the phase?

a. 4

b. 3

c. pi

Explanation:

Generic formula of a sine wave: s(t) = Amp * sin ( 2*pi*freq*t + phase)

where, Amp => Amplitude

freq => frequency

phase => phase

Given sine wave: s(t) = 4sin(2π3t + π)

Comparing it with the generic form , we can identify that :

a. Amplitude : 4

b. Frequency : 3

c. Phase : pi

Amplitude measures peak displacement from origin, Frequency is the number of cycles per second and phase is the relative positioning of the wave with respect to the origin.