Students will be able to
- find the cube roots of unity and understand the derivation of the formula using de Moivre’s theorem,
- plot the cube roots of unity on an Argand diagram and understand the geometric properties of this diagram,
- solve problems using the properties of the cube roots of unity,
- understand the definition of the primitive cube root of unity.
Students should already be familiar with
- de Moivre’s theorem,
- different forms of complex numbers including Cartesian (algebraic/rectangular), polar (trigonometric), and exponential forms,
- representing a complex number on an Argand diagram.
Students will not cover
- roots of unity.