How to plot sine waves in x and y-axes simultaneously?

I have a problem in plotting two sine waves through a single equation in both x and y-axes, simultaneously. The attached image below exhibits the targeted plot. Any suggestions are appreciated.

Answer 1

[Abdolkarim Mohammadi]

You should first create the horizontal sine and then rotate it for pi/2 using rotation matrix to get the vertical sine. You can play with coefficients of Sine1 to get exactly what you wish.

x = linspace (-5,5, 51)';

Sine1(:,1) = x;
Sine1(:,2) = 0.3 * sin(x);

theta = pi/2;
RotationMatrix = [cos(theta) -sin(theta); sin(theta) cos(theta)];

Sine2 = [Sine1(:,1),Sine1(:,2)] * RotationMatrix;

hold ('on');
plot (Sine1(:,1),Sine1(:,2));
plot (Sine2(:,1),Sine2(:,2));
hold ('off');

box ('on');

[Arash A.]

Many thanks for your help. That works well, however, I am wondering how I can get the Fourier transform of the function here based on Rotation Matrix?

[Abdolkarim Mohammadi]

Sorry Arash. I can't help you with that :(

[Arash A.]

No problem. Thanks so much