Rotation About Origin (z' = z · e^(iα))
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z' = z · e^(iα)
What each symbol means
| Symbol | What it stands for |
|---|---|
| z | Original complex number (point) |
| z' | Image after rotation |
| α | Angle of counterclockwise rotation about origin (radians) |
When to use this
Rotation about origin; |z'| = |z|. For rotation about z₀: z' − z₀ = (z − z₀)e^(iα).