How can I plot sin(x),sin(2x),...,sin(nx) for an input n all on the same graph? Matrix dimensions must agree error

Question

Colm Murphy 2019-10-23

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回答： Navadeep Ganesh U 2019-11-30

I'm trying to plot sin(x) and sin(2x) and 3x and so on up to sin(nx) all on the same graph. My code right now is as follows.

x=[-2*pi:pi/64:2*pi];
i = input('Enter a positive whole number: \n');
z=[1:i];
y=sin(x.*z);
for z = [1:i]
    plot(x,y);
end

It's giving me an error saying:

Matrix dimensions must agree.

Error in lab5_exercise2 (line 9)

y=sin(x.*z);

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Answer 1

Image Analyst 2019-10-23

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Put the y= statement inside the loop:

x = -2*pi : pi/64 : 2*pi;
n = input('Enter a positive whole number: ');
for z = 1 : n
	y = sin(x.*z);
	plot(x,y, '.-');
	hold on;
end
grid on;
xlabel('x', 'FontSize', 15);
ylabel('Y', 'FontSize', 15);

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Colm Murphy 2019-10-23

That worked. Thank you.

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Answer 2

James Tursa 2019-10-24

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https://ww2.mathworks.cn/matlabcentral/answers/487091-how-can-i-plot-sin-x-sin-2x-sin-nx-for-an-input-n-all-on-the-same-graph-matrix-dimensions-mu#answer_397967

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Modifying your original code without a loop:

x=[-2*pi:pi/64:2*pi];
i = input('Enter a positive whole number: \n');
z=[1:i]'; % make this a column vector
y=sin(x.*z); % use implicit expansion
plot(x,y); % no need for a loop
grid on