MATLAB Subplots: Plotting Cosine Functions with Varying Frequencies

Visualizing Cosine Functions with Varying Frequencies in MATLAB

This tutorial demonstrates how to create six subplots in MATLAB to visualize cosine functions with frequencies ranging from 1 to 6.matlab% Create theta values from -2pi to 2pitheta = linspace(-2pi, 2pi, 100);

% Create the figure with six subplotsfigure;

% Subplot 1: y = cos(theta)subplot(2, 3, 1);plot(theta, cos(theta));title('y = cos(\theta)');xlabel('\theta');ylabel('y');

% Subplots 2 to 6: y = cos(ntheta), n = 2 to 6for n = 2:6 subplot(2, 3, n); plot(theta, cos(ntheta)); title(['y = cos(', num2str(n), '\theta)']); xlabel('\theta'); ylabel('y');end

Explanation:

1. Define the Range: - We start by creating a variable theta using linspace(-2*pi, 2*pi, 100). This generates 100 evenly spaced values between -2π and 2π, representing the input values for our cosine functions.

2. Create the Figure and Subplots: - The figure command creates a new figure window to hold our subplots. - We utilize the subplot(2, 3, n) function to create six subplots arranged in two rows and three columns. The n variable specifies the current subplot's index, starting from 1 in the top left corner and increasing across rows.

3. Plot the Cosine Functions: - For each subplot, we use the plot(theta, cos(n*theta)) command to plot the corresponding cosine function. - The frequency of the cosine function is controlled by the variable n, which ranges from 1 to 6.

4. Add Titles and Labels: - We use title, xlabel, and ylabel functions to add descriptive titles and labels to each subplot, making it easier to understand the visualized data.

This script generates a figure containing six subplots, each displaying a cosine function with a different frequency. This visualization technique is helpful for understanding how changing the frequency of a cosine function affects its shape and characteristics.