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(Ï€/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)
-
1:09:31
Russell Brand
5 hours agoBird Flu Pandemic SCAM?! New Lockdowns + Vaccines!
102K310 -
2:56:24
The Charlie Kirk Show
3 hours ago2016 Redux + George Janko On-Set | Habba, Kassam, Janko | LIVE 6.10.24
72K31 -
LIVE
SilverFox
15 hours ago🔴LIVE - Elden Ring RANDOMIZER Mod - Part 2
379 watching -
59:36
The Dan Bongino Show
6 hours agoOperation DUMP Joe Biden Has Begun (Ep. 2267) - 06/10/2024
419K891 -
1:41:30
Steven Crowder
6 hours agoTrump Trial Turmoil as Juror’s Cousin F*cks Deep State | GUEST: Breanna Morello
287K457 -
1:47:52
Mostly Sports With Mark Titus and Brandon Walker
18 hours agoMostly Sports With Mark Titus and Brandon Walker Presented by Jägermeister | EP 185 | 6.10.24
40.3K -
1:29:01
Benny Johnson
4 hours agoPANIC: Biden Family ABANDONS Hunter As Gun Trial BLOWS-UP in Family's Face | VERDICT Imminent?! 🚨
86.3K90 -
1:21:27
Graham Allen
7 hours agoTrump Case Going To MISTRIAL?! Or Possible Probation?
74K185 -
3:19:17
The Kirk Minihane Show
7 hours agoKMS Live | June 10, 2024 - Coat Hanger Abortions & People Shooting Guns
42.3K1 -
2:25:41
Matt Kohrs
20 hours agoThe Meme Squeeze Saga, Live Options Trading & Breaking News || The MK Show
57.8K3