# How do I plot this sine wave?

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Niamh Mc Devitt on 22 Oct 2013
Commented: Image Analyst on 22 Oct 2013
I am new to matlab and I am struggling with the basics. I was asked this question in class and I'm just not sure what to do "Plot one second of a sine wave with frequency 97 Hz and phase shift 97 (in degrees). The x-axis should be time not samples". Please help.
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### Accepted Answer

sixwwwwww on 22 Oct 2013
Edited: sixwwwwww on 22 Oct 2013
Dear Niamh, you can do the following way:
time = -1:0.01:1;
frequency = 97;
phase = 97;
phase_in_rad = degtorad(phase);
y = sin(2 * pi * frequency * time + phase_in_rad);
plot(time, y), xlabel('Time'), ylabel('Sine wave')
Do you need it or something else?
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Image Analyst on 22 Oct 2013
Niamh, I knew this would happen. I think you accepted the wrong answer. Did you not notice that not all of the cycles were displayed in this answer? Only 3 instead of 97 like you'd expect to see in a one second time period. From what this Answer displays you'd think the frequency was 3 hertz, not 97 hertz! Did you run only this Answer and totally ignore mine? Did you not understand my explanation of aliasing and Nyquist frequency ? It would be wise of you to study up on that so you understand these very very important concepts.

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### More Answers (1)

Image Analyst on 22 Oct 2013
Edited: Image Analyst on 22 Oct 2013
Hopefully this was just a question asked verbally in class and not an actual homework assignment. Wouldn't it just be something like this:
% Make 1000 samples in the range 0 to 1 second.
t = linspace(0, 1, 1000);
% Assign period and phase shift of 97 degrees.
period = 1/97; % 97 hertz = period of 1/97 of a second.
phaseShift = 97 * pi/180; % In radians.
y = sin(2*pi*t/period - phaseShift));
plot(t,y, 'bo-', 'LineWidth', 2);
grid on;
% Enlarge figure to full screen.
set(gcf, 'units','normalized','outerposition',[0 0 1 1]);
Of course with 97 periods across the screen of width 1920 pixels, you won't see much - it will be all smashed together horizontally. You might want to plot fewer periods.
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