Complex Numbers 5 - De-Moivre’s Theroem
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- Опубліковано 6 жов 2024
- 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:
• Complex Numbers 3 - Po...
link to First class on Complex Numbers:
• Complex Numbers 1(Defi...
link to Second class on Complex Numbers here:
• Complex Numbers 2 - Ar...
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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 🙂
Ok sir
You deserve a trophy of being the best teacher in Africa
Thank you so much 👍
You are my mentor forever I love the way you lecture
Lovely.
Great to hear
Answer on 2n there is -1024 in degrees, you calculated r value in radians thats y it gives 32i
for the first exercise I got -886.81+ 521i and the second exercise I got 16i
Welldone 👍
Quite clear sir watching from Nairobi Kenya.
Awesome.
Greetings from Nigeria
Am grateful
Happy to hear 👍
Thank you so much sir 🥰🥰
Always welcomed 👍
With you, it's quite easy sir 😊
Surely.
Thank you.
Glad to hear 👍
Thanks you sir
Always welcomed 👍
Thanks so much sir 🎉🇺🇬
Always welcomed.
Excellent tr
Thank you 👍
How do we know when to make use of thitre reference and main thitre value???
Thanks for ur way of making maths look interesting 😥😥❤️❤️
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.
Here's the correct one, ignore the previous
The previous is it other examples?
Very good question👍
Sir my answer to the first ecercise is -512√3 + 512i
Welldone.
Thanks sir watching from Uganda😅
Always welcomed
Sir for the 1st exercise my answer is [ -512√3 + 512i ]
Welldone.👍👍
Hey 👋
What did you use as your n in the first exercise? 🤔.
Please do you have classes for statisticians
Not really
From the question n is 20
@@davieskayombo9106 check pinned comment
From ghana 🇬🇭 ♥️
Greetings from Nigeria and the Afcon
Please when do we use the tita ref an when do we use the real tita which we get with the argand’s diagram
Please refer to previous videos
My answers to the exercises
1.) 517√3 + 512i ans
2.) 16 ans or 16 + 0i ans
Welldone...!!!!
But sir, why didn't u use the argand angle stuff during the first example? Im quite confused as to when to use it
Use this idea
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?
Not always 👍👍👍
But sir in the question it's power 20, so where is the 10 coming from
Please check pinned comment.
Good day sir
Buh n value was 20 during the calculation you inserted raised to 10.
Is there a reason for that?
It's an oversight. Just follow the same pattern anyways. Good observation.
Wha if in a question you're given 2+2√3
I got √3 which is 60°
Am i to convert it to real degree?
And how do i know if my angle is real and reference cos i can't find that your teaching on reference angles sir
Sir i got -10√3 + 10i for the first question
Please help
Much love from nepal 🇳🇵
Welldone... Please check again
Greetings from Nigeria 🇳🇬💙
Sir also my answer fr the last trial exercise is 16.
Great job. Welldone.
@@jonahemmanuelofficial but sir my question is can a comples number be in decimal or must it be in whole number
@@jamiuzubairuadinoyi-lz1ih perharps decimals can be used . It's not always ideal still.
@@jonahemmanuelofficialso one's final answer can be in the form (1.3 + 8.56i)
@@jonahemmanuelofficial sir pls is there any tutorials video on proven identities trigonometrics
pls is it everytime we look for theta we use argand diagram or not
We use
Ansa for the second last last is -1024 but sir please am bad off in trigonometry l begged for Her help am from Ug
Sorry sir in the first example U did not USE argand's diagram please when should I & shouldn't l use it thax for all we appreciate.
We'll make a video on Trigonometry soon
Observe the examples well, you'll see when to use and when not to,
Further more, try using it for all questions and try not also using it for some questions and see if it's solvable or if they have same answer at the end.
You'll learn better by practising that way.
Sir, pls how do u get root 3/2 in your calculator ??
Punch yours and see
SIR, but n is equal to 20, and not 10 🤔.
Yes, thank you
The first example seems confusing.....
How did you get 32
@@almustaphamuhammad3636 watch the previous videos before this
Sir please I'm getting decimals for the (2root3+2i
Possibly, just do your approximation to 2dp
Thank u sir
@@SmilingBassGuitar-uu1ml always welcomed
What's the name of your calculator sir
Casio - FX 991ES plus
N should be 20
Yes, true ..!!!!
pls is that all about complex numbers?
End at De-Moivre's Theorem
@@jonahemmanuelofficial we need more of complex numbers. i dont go for class because of you
@@jonahemmanuelofficial you are much more better
when will you finish with complex numbers?
we have an exam
@@ISAACYIDANA have you checked out our other videos on complex numbers? From definition, addition, subtraction, Multiplication etc ???
@@jonahemmanuelofficial yh Donne from 1 to 5
BEFORE YOU SHOULD FOR THE ARGUMENT CHECK THE QUADRANT, IT LIES IN
👍
*before you find for the argument