The following parametric equations generate the Lissajous patterns for different values of the frequencies a and b , and varying phase angle c .

x=cos(at) and y=cos( bt+c)

Use the MATLAB subplot command to generate the following set of graphs (arranged in two rows and two columns):

1) a=1 b=1 c=0

2) a=1 b=1 c=pi/4

3) a=1 b=1 c=pi/2

4) a=1 b=2 c=pi/2

Label the axes as: xlabel('x = cos(t)'), ylabel('y = cos(t)'), etc. Sample codes for the plotting are provided below:

>> t = ...; % discretize the time variable

>> a=1; b=1; c=0; % define parameters for part (i)

>> subplot(2,2,1), ...; >> a=1; b=1; c=pi/4; % define parameters for part (ii)

>> subplot(2,2,2), ...;