surface example
3D Product Sine Cosine Graph
A checkerboard-like wave surface.
z = sin(x) * cos(y)Teacher prompt
Why do some hills become valleys?
The product changes sign when either sine or cosine changes sign.
min z 0.00max z 0.0056 samples
What this graph represents
Multiplying the waves makes positive and negative regions alternate.
Where it appears in calculus
Use it to connect sign patterns to surface height.
Embed this graph
Use the Embed button in the calculator to copy a ready iframe for blogs, LMS pages, and lesson notes.
Open embed pageRelated graphs
Open another surface page and compare shape, slices, and contour behavior.
Saddle Surface
z = x^2 - y^2A saddle surface curves up in one direction and down in the perpendicular direction.
Gaussian Surface
z = exp(-(x^2 + y^2))A smooth bell-shaped surface centered at the origin.
Elliptic Paraboloid
z = x^2 + y^2A bowl-shaped surface that opens upward.
Inverted Paraboloid
z = 12 - x^2 - y^2A dome-shaped surface with a highest point at the center.