What is a sinusoid?

A sinusoid is a very important specific signal

x[t] = A Sin[2 Pi f t + p]

It has three parameters:

A = amplitude

f = frequency (expressed in Hertz or cycles per second)

p = phase

In[7]:=

  S[t_] := A Sin[2Pi f t + p]

In[8]:=

  A=1; f=1; p=0;
  A1 = Plot[S[t], {t, -1, 2},
            PlotStyle -> blueline];

Effect of changing the amplitude

Effect of changing the frequency

Effect of changing the phase

Up to Signals and Sinusoids