MATLAB Sine Wave Plot

A sine wave or sinusoidal wave is a periodic function that involves the trigonometric sine function along with other factors such as Amplitude, frequency, and time instant of the wave. The general form of a sine wave function is:

Syntax:

f(t) = A*sin(w*t + theta)

Where,

• A = amplitude
• w = angular frequency of the wave, which is 2 *pi * frequency
• t = time variable/ or any variable

Let’s see the plotting of this same function in MATLAB with different examples.

Example 1:

Matlab

% MATLAB code for sine wave plot
% Frequency
    freq = 0.2*pi;

% Angular frequency
    w = 2*pi*freq;

% Amplitude
    A = 1.25;

% Values of variable argument
    t = linspace(0,pi,10000);

% Sin wave function
    ft = A * sin(w*t);

% Sine wave plot
  plot(t, ft), title("Sine Wave"),
  xlabel("Time"), ylabel("Sine wave function")

Output:

Let us create a Sine wave function with phase angle pi/2.

Example 2:

Matlab

% MATLAB code for sine wave
% Frequency
  freq = 0.2*pi;

% Angular frequency
  w = 2*pi*freq;

% Amplitude
  A = 1.25;
  t = linspace(0,pi,10000);

% Values of variable argument
  theta = pi/2;

% Phase angle
% Sin wave function
  ft = A * sin(w*t + theta);

% Sine wave plot
  plot(t, ft), title("Sine Wave with phase pi/2"),
  xlabel("Time"), ylabel("Sine wave function")

Output: