Students will be able to
- find the th roots of unity and understand the derivation of the formula using de Moivre’s Theorem,
- plot the th roots of unity on an Argand diagram and understand the geometric properties of this diagram,
- solve problems using the properties of the th roots of unity,
- understand the relationship between 𝑛th and th roots of unity where and share a factor,
- understand the definition of a primitive 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,
- representing a complex number on an Argand diagram.
Students will not cover
- th roots of an arbitrary complex number.