# Plotting a Sine wave in MATLAB

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AluminiumMan on 15 Mar 2023
Commented: Sam Chak on 15 Mar 2023
Hi, I am trying to plot a sine wave in matlab. The purpose is to use in an electrical context so for plotting 3 phase AC signals and circuits with resistors, capacitors and inductors etc in circuit. We are also supposed to be using complex numbers in this context so just getting my head around it.
We were given an equation A(t)=Am*Sin(wt+θ)
Where A is the signal, t is time, Am is the amplitude of the signal, w is 2*pi*f, and θ is the phase shift.
How can I plot each of these variables into a MATLAB sinewave plot? I have seen some example sine wave plots online but its not clear how to control each of these variables to get the exact sine wave plot that I want?
How can I also contorl things like frequency, total length of time of the sine wave signal, time period of a single sinewave etc. I want to have total control over all of the characteristics of my sine wave.

Sam Chak on 15 Mar 2023
Edited: Sam Chak on 15 Mar 2023
The first example of the plot() function doc exactly shows how to plot a sine wave.
Tend = 10; % simulation time (duration)
t = 0:0.01:Tend;
Am = 1; % parameter 1 : amplitude
p = Tend/2; % parameter 2a: period (time for 1-cycle)
f = 1/p; % parameter 2b: frequency
w = 2*pi*f; % parameter 2c: angular frequency
th = pi/2; % parameter 3 : phase (in radian)
y = Am*sin(w*t + th); % sine wave that becomes a 'cosine' after shifted 90°
plot(t, y, 'linewidth', 1.5), grid on
xlabel('t (sec)') ##### 2 CommentsShow 1 older commentHide 1 older comment
Sam Chak on 15 Mar 2023
I copied the code from multiple examples involving plotting sine wave and inserted your sine formula.
0.01 is the fundamental sample time (not sample rate), also commonly known as step size in MATLAB.

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