# Chapter 16 - Complex Numbers 2 Flashcards

## Exponential Form, De Moivre's Theorem, Roots of Unity. This A-Level Topic is far from e-z*. So keep up!

1

Q

State Euler’s Formula.

A

2

Q

Define cosθ and sinθ as exponentials.

A

Only works for radians.

3

Q

State the equation for finding the roots of unity.

A

4

Q

Using ω, explain the sum of the roots of unity.

A

This is a geometric sequence.

5

Q

Using Euler’s Formula, what is the equivalent of this?

A

6

Q

Using Euler’s Formula, what is the equivalent of this?

A

7

Q

Using Euler’s Formula, what is the equivalent of this?

A

8

Q

Using Euler’s Formula, what is the equivalent of this?

A

9

Q

Express a complex number, zⁿ, in exponential form.

A

10

Q

State de Moivre’s theorem.

A