How do I rotate a 2D wave about the z axis?

I am trying to figure how to rotate my 2D wave by 30 degrees or so.

pixels = 60;
X = meshgrid(1:pixels);
Z = sin(X);
mesh(Z)

Using the rot90 function I can rotate it by 90 degrees - giving me two mesh graphs:

However, I am interested in rotating my sine wave by 30 degrees AND I still want to end up with a matrix of values to look at. To my knowledge there is no function that does that.

So, why not use the Rz Rotation Matrix?

Rz = [cos(t) -sin(t) 0; sin(t) cos(t) 0; 0 0 1];

Well, I don't know how to implement this into my code.

I followed this guide and now know how to rotate a torus about an axis - but only using symbolic variables (which I am unfamiliar with). I don't know how to apply that knowledge to my current situation. It looks like it couldn't help me build a matrix.

EDIT: My friend figured it out, but leaving this up in-case anyone has a similar question.

function Z = sinwav(pixels, nOscillations, orientation, pShift)

O = nOscillations * (2 * pi /pixels); %how many times you want wave to oscillate in x-dir

xdomain = 1:pixels;

[X,Y] = meshgrid(xdomain);

Z = sin((sin(orientation)*O*X + cos(orientation)*O*Y)+pShift);

mesh(Z)