Rotate a 2D function regarding Z-axis (Matlab script)

Código de Matlab:

% Rotate a 2D function with respect z-axis

x = -10:0.01:10;

y = 3*cos(4*x);

v = [x(:) y(:)];

% theta is in radians (2*pi is equivalent to 360 degrees)
for theta = 0:0.01:2*pi
  
    % Matrix rotation wit respect z-axis order: 2 x 2
    R = [cos(theta) -sin(theta); sin(theta) cos(theta)];
   
    % Multiply the matrix v x R (to rotate all the 2D space)
    ... v is N x 2 order and R is 2 x 2 order then
    ... vr is of N x 2 order
    vr = v*R;

    x = vr(:,1);
   
    y = vr(:,2);
   
    plot(x,y,'Linewidth',4);
   
    axis([-15 15 -15 15]);
   
    pause(0.01);
   
end  

Video: https://youtu.be/Et3fGNrPprM