22 De Moivre's Theorem Part 3 (worked examples)

This video works through 5 examples requiring De Moivre's Theorem to evaluate powers of various complex numbers. The full solutions are given. There is an emphasis on exact values and the use of π/3, π/4 and π/6 angles.
Chapters:
00:10 The five examples
00:22 Solution to Example 1
02:58 Solution to Example 2
06:43 Solution to Example 3
09:00 Solution to Example 4
12:32 Solution to Example 5
15:42 Various End Screen Links
Key words: De Moivre's Theorem, exact values, cos(π/3), arguments, M337, Open University, Unit A1, complex analysis, evaluation, powers, quadrants, multiples of 2pi

Previous videos in this series are:
01 What is a Complex Number?
02 Adding, Subtracting and Multiplying Complex Numbers
03 Dividing Complex Numbers
04 Complex Conjugates
05 The Field of Complex Numbers
06 The Complex Plane
07 The Modulus of a Complex Number
08 Distance on the Complex Plane
09 Properties of the Modulus of a Complex Number
10 Complex Numbers and the Unit Circle
11 The Polar Form of a Complex Number
12 The Principal Argument of a Complex Number
13 The Geometrical Effects of Multiplying by a Complex Number
14 Multiplication of Complex Numbers in Polar Form
15 The Principal Argument when Multiplying Complex Numbers
16 The Geometrical Effects of Dividing by a Complex Number
17 Division of Complex Numbers in Polar Form
18 Properties of the Reciprocal of a Complex Numbers
19 Conjugates and Reciprocals of Complex Numbers
20 De Moivre's Theorem Part 1 (Introduction & Visualisation)
21 De Moivre's Theorem Part 2 (proof for all Integers)