Surface sin(x) cos(y)

Equation: z = sin(x) * cos(y)

z = sin(x) cos(y) multiplies two orthogonal oscillations. Peaks and wells alternate on a rectangular lattice.

The same product shows up when separating variables u(x, y) = X(x)Y(y) for the wave or Laplace equation on a rectangle.

Related surfaces

• Rolling valleysz = cos(x) + cos(y)
• Rolling wavesz = sin(x + t) + cos(y + t)
• Twisting interferencez = sin(x) * cos(y) * cos(t) + cos(x) * sin(y) * sin(t)