Freemat --> Plotting Two Curves on the same Plot

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AI Thread Summary
A MATLAB program is presented to plot sine and cosine curves over the interval from 0 to 2π. The code utilizes the linspace function to generate 100 equally spaced points within this range, then computes the sine and cosine values for these points. The sine curve is plotted in blue, while the cosine curve is shown in red, both with increased line thickness for clarity. The program includes essential labels for the x and y axes, a title, and a legend to distinguish between the two functions. A grid is added to enhance visualization. The solution is credited to multiple contributors, including the original proposer and coder.
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Here's a simple MATLAB program to plot the sine and cosine curves for the interval 000 to 2π2\pi2π:

Code:

Matlab:
% Define the interval from 0 to 2π
x = linspace(0, 2*pi, 100);

% Compute sine and cosine values
y_sin = sin(x);
y_cos = cos(x);

% Plot the sine and cosine curves
figure;
plot(x, y_sin, 'b', 'LineWidth', 2); % Sine curve in blue
hold on;
plot(x, y_cos, 'r', 'LineWidth', 2); % Cosine curve in red

% Add labels, title, and legend
xlabel('x (radians)');
ylabel('Function value');
title('Sine and Cosine Functions');
legend('sin(x)', 'cos(x)');

% Grid for better visualization
grid on;
hold off;

Explanation:​


  • linspace(0, 2*pi, 100): Generates 100 equally spaced points between 000 and 2π2\pi2π.
  • sin(x) and cos(x): Computes sine and cosine values for these points.
  • plot(x, y_sin, 'b', 'LineWidth', 2): Plots the sine curve in blue with a thick line.
  • plot(x, y_cos, 'r', 'LineWidth', 2): Plots the cosine curve in red with a thick line.
  • xlabel, ylabel, title, and legend: Add necessary labels and title.
  • grid on: Enhances visibility with a grid.

Output:

Screenshot 2025-03-16 at 12.03.09 AM.png


Solution Credits:

Proposed by: @hagopbul
Coded by: @ChatGPT
Tested on: Freemat a Matlab clone
Reviewed by: @jedishrfu
 
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