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# Z-Axis rotation calculator

Rotate a point around the Z axis by an angle in degrees or radians and see the new coordinates next to the 3x3 matrix that produced them.

Enter a point and an angle to rotate it.

The rotation about Z is the 2D rotation of X and Y with Z riding through untouched, so this doubles as a plain 2D point rotator when you leave Z at 0. Whole multiples of 90 degrees snap to exact cosine and sine values instead of the float residue a radian conversion leaves. What this tool does not do: rotate around X or Y, compose multiple rotations, or work in homogeneous coordinates.
Options

## More unit & math tools

- [Aspect ratio and DPI](/converters/aspect-ratio)
- [Unit converter](/converters/units)
[All unit & math tools](/converters)

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Markdown version: https://nutter.tools/converters/z-axis-rotation-calculator.md
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