Complex Numbers 5 - De-Moivre’s Theroem

[@jonahemmanuelofficial]

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 🙂

[@AssisRabanoRe2-xy4np]

Ok sir

[@ROMEMOSES]

You deserve a trophy of being the best teacher in Africa

[@jonahemmanuelofficial]

Thank you so much 👍

[@MomoAmbroMomo]

The best teacher I had online

[@jonahemmanuelofficial]

@@MomoAmbroMomo thank you so much 👍

[@adebayoolugbengadaniel9322]

Wow! This really ease my curiosities. Thank You so much for making your explanation very simple and easier.

[@jonahemmanuelofficial]

Always welcomed 👍

[@FodayESesay]

You are my mentor forever I love the way you lecture

[@jonahemmanuelofficial]

Lovely. Great to hear

[@IreneNdanu-mk5xw]

Ur teachings methods makes maths easy...thanks for the lecture

[@jonahemmanuelofficial]

Always welcomed 👍

[@jaxdeano]

Thank you sir you have helped me alot watching from Uganda mbale

[@jonahemmanuelofficial]

@@jaxdeano always welcomed 👍

[@kakaijoseph1920]

Quite clear sir watching from Nairobi Kenya.

[@jonahemmanuelofficial]

Awesome. Greetings from Nigeria

[@anthonylengwejr01]

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

[@Raquel_jhonson]

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.

[@jonahemmanuelofficial]

Here's the correct one, ignore the previous

[@chi_besh2812]

The previous is it other examples?

[@UcheOnuigbo]

Very good question👍

[@jaxdeano]

Was just brain boosting ​@@chi_besh2812

[@AnthonyTwina]

Thank u, am learning alot from u🙏😍🥰🥰

[@iddrisuabubakari-ch6jc]

With you, it's quite easy sir 😊

[@jonahemmanuelofficial]

Surely. Thank you. Glad to hear 👍

[@JoelOteks]

Excellent tr

[@jonahemmanuelofficial]

Thank you 👍

[@Samuel-ww4hq]

Thanks so much sir 🎉🇺🇬

[@jonahemmanuelofficial]

Always welcomed.

[@agboukamaka3285]

Thank you so much sir 🥰🥰

[@jonahemmanuelofficial]

Always welcomed 👍

[@HappyNtuli-db4nk]

Am grateful

[@jonahemmanuelofficial]

Happy to hear 👍

[@Cityinvestorug]

Thanks sir watching from Uganda😅

[@jonahemmanuelofficial]

Always welcomed

[@AmaraMySon-ob8yy]

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

[@jonahemmanuelofficial]

Use this idea

[@mudashirufauwziyyat8298]

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

[@jonahemmanuelofficial]

It's an oversight. Just follow the same pattern anyways. Good observation.

[@Derrobe]

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

[@jonahemmanuelofficial]

Please refer to previous videos

[@jamesonunkwo7127]

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

[@jonahemmanuelofficial]

We use

[@AlerahAnita]

How do we know when to make use of thitre reference and main thitre value??? Thanks for ur way of making maths look interesting 😥😥❤️❤️

[@agboukamaka3285]

Please do you have classes for statisticians

[@jonahemmanuelofficial]

Not really

[@BELOVED-001]

​@@jonahemmanuelofficial that all I need now cause u clear MTH but STA is now a problem make a tutorial on Probability 😢

[@Believer_tv]

Thanks you sir

[@jonahemmanuelofficial]

Always welcomed 👍

[@SmilingBassGuitar-uu1ml]

Sir please I'm getting decimals for the (2root3+2i

[@jonahemmanuelofficial]

Possibly, just do your approximation to 2dp

[@SmilingBassGuitar-uu1ml]

Thank u sir

[@jonahemmanuelofficial]

@@SmilingBassGuitar-uu1ml always welcomed

[@chinameremsuccess9230]

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

[@emmanueltetteh1246]

From ghana 🇬🇭 ♥️

[@jonahemmanuelofficial]

Greetings from Nigeria and the Afcon

[@opioesau2934]

good

[@jonahemmanuelofficial]

👍

[@ekemaadeline]

Sir, pls how do u get root 3/2 in your calculator ??

[@jonahemmanuelofficial]

Punch yours and see

[@MwansaJoy-wb9jq]

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

[@jonahemmanuelofficial]

Please check pinned comment.

[@GénitooPiaax]

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

[@jonahemmanuelofficial]

Welldone.👍👍

[@UcheOnuigbo]

Hey 👋 What did you use as your n in the first exercise? 🤔.

[@HappyDaffodils-fj7nu]

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?

[@jonahemmanuelofficial]

Not always 👍👍👍

[@arunabmansaray9003]

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

[@jonahemmanuelofficial]

Welldone 👍

[@ISAACYIDANA]

pls is that all about complex numbers?

[@jonahemmanuelofficial]

End at De-Moivre's Theorem

[@ISAACYIDANA]

@@jonahemmanuelofficial we need more of complex numbers. i dont go for class because of you

[@ISAACYIDANA]

@@jonahemmanuelofficial you are much more better when will you finish with complex numbers? we have an exam

[@jonahemmanuelofficial]

@@ISAACYIDANA have you checked out our other videos on complex numbers? From definition, addition, subtraction, Multiplication etc ???

[@yidanaisaac1591]

@@jonahemmanuelofficial yh Donne from 1 to 5

[@thisisozioko]

What's the name of your calculator sir

[@jonahemmanuelofficial]

Casio - FX 991ES plus

[@almustaphamuhammad3636]

The first example seems confusing..... How did you get 32

[@jonahemmanuelofficial]

@@almustaphamuhammad3636 watch the previous videos before this

[@jamiuzubairuadinoyi-lz1ih]

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

[@jonahemmanuelofficial]

Welldone.

[@austinjosiah596]

Pls what is theta reference

[@jonahemmanuelofficial]

?

[@UcheOnuigbo]

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

[@jonahemmanuelofficial]

Yes, thank you

[@jamiuzubairuadinoyi-lz1ih]

Sir also my answer fr the last trial exercise is 16.

[@jonahemmanuelofficial]

Great job. Welldone.

[@jamiuzubairuadinoyi-lz1ih]

@@jonahemmanuelofficial but sir my question is can a comples number be in decimal or must it be in whole number

[@jonahemmanuelofficial]

@@jamiuzubairuadinoyi-lz1ih perharps decimals can be used . It's not always ideal still.

[@jamiuzubairuadinoyi-lz1ih]

@@jonahemmanuelofficialso one's final answer can be in the form (1.3 + 8.56i)

[@jamiuzubairuadinoyi-lz1ih]

@@jonahemmanuelofficial sir pls is there any tutorials video on proven identities trigonometrics

[@davieskayombo9106]

From the question n is 20

[@jonahemmanuelofficial]

@@davieskayombo9106 check pinned comment

[@AssisRabanoRe2-xy4np]

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

[@AssisRabanoRe2-xy4np]

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.

[@jonahemmanuelofficial]

We'll make a video on Trigonometry soon

[@jonahemmanuelofficial]

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.

[@simpp657]

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

[@jonahemmanuelofficial]

Welldone... Please check again Greetings from Nigeria 🇳🇬💙

[@NelsonOguiroChrysantus-ur4es]

My answers to the exercises 1.) 517√3 + 512i ans 2.) 16 ans or 16 + 0i ans

[@jonahemmanuelofficial]

Welldone...!!!!

[@ElvisBoateng-q1u]

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

[@jonahemmanuelofficial]

👍

[@ElvisBoateng-q1u]

*before you find for the argument

[@franklineomondi9016]

N should be 20

[@jonahemmanuelofficial]

Yes, true ..!!!!