Complex Numbers 5 - De-Moivre’s Theroem #complexnumbers #demoivrestheorem #jonahemmanuel

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This video teaches about De-Moivre's theorem and how to use De-Moivre's theorem to solve problems involving complex numbers such as the expansion of complex numbers

Multiplication of Complex Numbers in Polar form:

link to First class on Complex Numbers:

link to Second class on Complex Numbers here:

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For the second example (1+ i)^20

n = 20 and should be used as 20 while solving and not 10.

I changed it from 20 to 10 and hence the problem there, but the procedure for solving is same.

Best of luck 🙂

jonahemmanuelofficial
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Sir, I have a question on the Argand's diagram. When you were solving the 3rd question, the one that is 'evaluate [1-√(3)]' you used the diagram to get your θ (theta), but you didn't use it for the previous example. So I'd like to know when to use the diagram cause I am quite confused. I'll humbly wait for your reply.

Raquel_jhonson
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for the first exercise I got -886.81+ 521i and the second exercise I got 16i

arunabmansaray
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Please when do we use the tita ref an when do we use the real tita which we get with the argand’s diagram

Derrobe
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pls is it everytime we look for theta we use argand diagram or not

jamesonunkwo
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Answer on 2n there is -1024 in degrees, you calculated r value in radians thats y it gives 32i

anthonylengwejr
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Please do you have classes for statisticians

agboukamaka
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You deserve a trophy of being the best teacher in Africa

ROMEMOSES
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Sir my answer to the first ecercise is -512√3 + 512i

jamiuzubairuadinoyi-lzih
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But sir in the question it's power 20, so where is the 10 coming from

MwansaJoy-wbjq
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SIR, but n is equal to 20, and not 10 🤔.

UcheOnuigbo
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You are my mentor forever I love the way you lecture

FodayESesay
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But sir, why didn't u use the argand angle stuff during the first example? Im quite confused as to when to use it

AmaraMySon-obyy
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Ansa for the second last last is -1024 but sir please am bad off in trigonometry l begged for Her help am from Ug

AssisRabanoRe-xynp
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The first example seems
How did you get 32

almustaphamuhammad
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Sir i got -10√3 + 10i for the first question
Please help
Much love from nepal 🇳🇵

simpp
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Good day sir
Buh n value was 20 during the calculation you inserted raised to 10.
Is there a reason for that?

mudashirufauwziyyat
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Sir please with my answer, without the argand diagram i got my answer to be 16 +16 root 3
So can i get valid answer without the argand diagram?

HappyDaffodils-fjnu
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BEFORE YOU SHOULD FOR THE ARGUMENT CHECK THE QUADRANT, IT LIES IN

ElvisBoateng-qu
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Sir for the 1st exercise my answer is [ -512√3 + 512i ]

GénitooPiaax