AS/A2 Pure 4 Pure 5

P6 Topic 1: Complex numbers
nth roots of unity
This Argand diagram will show the nth roots of unity, in other words, solutions to:
zn = 1
Click the Step button to see each of the solutions

z3 = 1, the cube roots of unity

z4 = 1

z5 = 1

z6 = 1

Summary On an Argand diagram, the nth roots of unity will appear as the vertices of a regular n-sided polygon. The Plane Graphic Calculator java applet