Complex Numbers In Polar - De Moivre's Theorem

  Рет қаралды 782,753

The Organic Chemistry Tutor

3 жыл бұрын

This precalculus video tutorial focuses on complex numbers in polar form and de moivre's theorem. The full version of this video explains how to find the products, quotients, powers and nth roots of complex numbers in polar form as well as converting it to and from rectangular form. This video contains plenty of examples and practice problems and is useful for high school and college students taking precalculus or trigonometry.
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Пікірлер: 340
@TheOrganicChemistryTutor
@TheOrganicChemistryTutor 2 жыл бұрын
Full 3 Hour Video on Patreon: www.patreon.com/MathScienceTutor Direct Link to The Full Video: bit.ly/3zx7z6Z
@OnlyOne1Dee
@OnlyOne1Dee 2 жыл бұрын
Sir you best, you teach everything, you inspire me sir, may God always bless you
@eyobmengesha5461
@eyobmengesha5461 Жыл бұрын
good job!
@eyobmengesha5461
@eyobmengesha5461 Жыл бұрын
wow
@yahiaali6354
@yahiaali6354 3 жыл бұрын
If I ever manage to get a PHD I'm giving you half of it
@ryanwalter5824
@ryanwalter5824 2 жыл бұрын
That's so sweet that you would do that for him 😍😍😍
@snrprophetemmanuelchanda1144
@snrprophetemmanuelchanda1144 2 жыл бұрын
How about giving him the two months salary
@axa122
@axa122 2 жыл бұрын
@@snrprophetemmanuelchanda1144 two months? He should get royalty of about 20% of your salary
@sanopann1896
@sanopann1896 Жыл бұрын
what about me we are best pal since kindergarten remember
@belloabdullahi1000
@belloabdullahi1000 6 ай бұрын
Have you gotten the phd
@shemeze
@shemeze 2 жыл бұрын
Please never stop posting these video my degree depends on it 😭
@chepkorirkoriryo819
@chepkorirkoriryo819 2 жыл бұрын
Me too😭
@allnighter8762
@allnighter8762 5 ай бұрын
lmao same 😭 this guy explains it better then my professor.
@Anonymous-nm2cc
@Anonymous-nm2cc 5 ай бұрын
Wewe ni mkenya?😅
@micahskota2341
@micahskota2341 2 ай бұрын
same
@cormack-qo3nd
@cormack-qo3nd Ай бұрын
Me getting into college depends on it 😂
@cheghegerhard5075
@cheghegerhard5075 2 жыл бұрын
Impressive! You make me feel like the physical classroom has been a waste of my time. Thank you Sir
@kemypius5309
@kemypius5309 Жыл бұрын
Lol It's not a lie
@abo0ode_176
@abo0ode_176 10 ай бұрын
Well, who said it wasn’t
@jameskullutwe
@jameskullutwe 2 жыл бұрын
This hour was more like 15 minutes. Thank you so so much for your effort, it is really helping so many students throughout all the corners of earth.
@Lisatheecologist
@Lisatheecologist 3 жыл бұрын
This is exactly what I'm doing in class rn. Thank you
@SoyPedro23
@SoyPedro23 2 жыл бұрын
I love u
@shinichiizumi5243
@shinichiizumi5243 2 жыл бұрын
Bich aren't u too old for this kinda sums
@rayane--21pilots8
@rayane--21pilots8 Жыл бұрын
​@@SoyPedro23 Ur name suits you
@davidwestbrook2664
@davidwestbrook2664 Жыл бұрын
Awesome that you used the letters r and n.
@Brewyy.
@Brewyy. 11 күн бұрын
I'm just thankful someone like you exist. Thank you for helping my journey to an Aerospace Engineering degree.
@rose1835
@rose1835 Жыл бұрын
I never thought math could be this fun. Thank you for sharing your knowledge with us!
@aquagardenalgae2833
@aquagardenalgae2833 3 жыл бұрын
An absolutely exceptional teacher chemistry.
@ruthatufe
@ruthatufe Жыл бұрын
The organic chemistry Tutor,my sure helper in time of trouble on campus,God bless you sir,please continue the good works
@learnershome1251
@learnershome1251 11 ай бұрын
Awesome tutor
@charlieingaround555
@charlieingaround555 4 ай бұрын
you're the most easy to understand maths teacher I've ever come across in my life
@everydaytechlaunches7707
@everydaytechlaunches7707 3 жыл бұрын
I have been facing some.many difficulties in solving almost even simple questions regarding complex numbers after two years of lockdown. But with you I now recall everything. Thank you alot Great love from uganda in Africa
@evandermursh8410
@evandermursh8410 3 ай бұрын
Dude I've been falling so far behind in my specialist classes, you are the sole reason why I'm doing well on my tests and understanding the material, you're actually the best 🙏
@dragonrune2036
@dragonrune2036 3 ай бұрын
Fellow specialist maths student, my exam is today and I’m living off this 😭😭
@vandaflaisz8176
@vandaflaisz8176 2 жыл бұрын
I'm studying this in university and this video helped me a lot, thank you!
@jasumeen6053
@jasumeen6053 Жыл бұрын
same HAHAHAH
@keshavmishra5393
@keshavmishra5393 Жыл бұрын
hey @vandaflaisz can u send me some of the college level math tutors channel names
@abo0ode_176
@abo0ode_176 10 ай бұрын
I’m going to take this again in university!!? 🫠
@andreja8683
@andreja8683 8 ай бұрын
@@abo0ode_176 yes
@neckrohs
@neckrohs 3 ай бұрын
@@abo0ode_176 trigonometry :)
@exploreformore3784
@exploreformore3784 3 жыл бұрын
Such a legend. My complex numbers assignment is due and I need to pass to be considered to pass the whole unit!!!
@fidirita4468
@fidirita4468 2 жыл бұрын
God bless you ... sitting for a 1st year final mathematics test tomorrow ..your videos are reducing my to simplicity and understanding ... thank you
@jasperofficial1911
@jasperofficial1911 2 жыл бұрын
When I started watching the video I waas like why an entire hour, now that I finished it I'm happy you managed to explain it so well in just one hour
@katebenduba7027
@katebenduba7027 Жыл бұрын
I say this out of a sincere heart with utmost respect.You simply the best.You make the hardest of topics easier to grasp and understand.You made look at mathematics in a different light.I have began to love certain topics that I really hated.Thank you and continue this excellent work.
@sanopann1896
@sanopann1896 Жыл бұрын
big bro i need help please. at 32:04 how did he got the answer of cos 30 degree and sin 30 degree
@MobC
@MobC Жыл бұрын
@@sanopann1896he used the unit circle
@kingiceage
@kingiceage Жыл бұрын
in support with u i hardly understood maths but he teachers bit by bit in a very proffesional way😊
@lit22006
@lit22006 2 жыл бұрын
the most beautiful introduction to complex numbers maths on KZfaq. (I've been searching for days)
@brandonquendo
@brandonquendo Жыл бұрын
I'm learning english, and your videos are just what I need it (Sorry for my bad english), but really your explications and your form for solve operations are really amazing.
@idirisosman6784
@idirisosman6784 9 ай бұрын
you have good english my friend
@besmelehussein923
@besmelehussein923 3 жыл бұрын
The best teacher ever
@bebus2815
@bebus2815 Жыл бұрын
You make everything look easy
@sanopann1896
@sanopann1896 Жыл бұрын
big bro i need your help how did he get the 45 degree at 17:00
@skillz3
@skillz3 Жыл бұрын
@@sanopann1896 the tangent of 45 degrees or pi/4 is 1. you can see it on the unit circle
@Maitregaming614
@Maitregaming614 7 ай бұрын
If I get a distinction in my HND I will for ever be grateful for your good work, your videos are so simple to understand thanks alot sir!!
@kamila-kr2kr
@kamila-kr2kr 2 жыл бұрын
Thank you so much. You are a great teacher!
@bonyevitus8979
@bonyevitus8979 Жыл бұрын
Only him that I do understand more than all the tutors. His Vocal is always clear ... in he help me pass Chemistry as my resit paper... U aa dhope among all. Keep the good work out... Now am studying Bsc Geological Engineering....so more solves examples
@picolo1264
@picolo1264 2 жыл бұрын
Now your giving me high hopes in maths God bless you more!!!
@aceryuzaki2564
@aceryuzaki2564 Жыл бұрын
Dude thanks to you I passed my differential equation now I'm taking advance mathematics 🙏thank you so much
@blessingzidyarukwa
@blessingzidyarukwa 3 жыл бұрын
What a productive one hour, thank you Sir
@itsmeprecious8814
@itsmeprecious8814 Жыл бұрын
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@villachimzy6771
@villachimzy6771 3 жыл бұрын
You know your job very well even far better than just a teacher.I don't know how to thank you,my words are not enough but my heart knows how much...
@itsmeprecious8814
@itsmeprecious8814 Жыл бұрын
This was so helpful cause I wasn’t understanding what our professor was teaching so I came running to My most trusted channel
@kingiceage
@kingiceage Жыл бұрын
Wow😮 u teach more than any maths teacher i have ever encountered thanks a lot may God bless you
@beautytony9310
@beautytony9310 3 ай бұрын
Your teaching was so great , now I have a hold of what complex number is all about Thanks so much
@remlatofik5653
@remlatofik5653 Жыл бұрын
we are glad to have you please don't stop posting ❤
@abnershaikh9173
@abnershaikh9173 2 жыл бұрын
thank you alot for this, if it weren't for you i would have never thought i could study maths
@valentinejepkemei149
@valentinejepkemei149 2 жыл бұрын
I have soo challenged by this complex but now am totally okay thank much Organic Chemistry Tutor🙏
@dilkinirasha9612
@dilkinirasha9612 3 жыл бұрын
Thank u so much!!! You deserve half of my degree...I love you
@SimonPeapo
@SimonPeapo 10 ай бұрын
Brother, really you are the blessing to the world, in terms of explanation you are gifted from God our Father glory to him that you will be blessed aboundently and blessings to your generation for your kind heart of helping God's creation, really appreciate it and be humble as you are so that God will raise you, you decrease and God will raise your standards of explanation to the next level that is extraordinary ❤ I 'm from University of Papua New Guinea and really enjoying your you tube videos quite along time
@kennedymukwakwa
@kennedymukwakwa Жыл бұрын
Thanks a lot . you've helped lots and lots of engineering, physics and science students
@user-fv3wp7pz3t
@user-fv3wp7pz3t Ай бұрын
I didnt pay attention in high school, now im in college doing digital signal processing and I really need to know this. Very helpful!
@WilliamGyabengJunior
@WilliamGyabengJunior 6 ай бұрын
You always make topics easier to learn. Thanks a lot🙂
@motloungmatadiana4241
@motloungmatadiana4241 2 жыл бұрын
Thank you so much sir.may God bless you abundantly.
@DenishAoro
@DenishAoro 4 ай бұрын
Your lesson is fantastic I enjoy it I just feel like doing it all the time
@vincentmudimeli4430
@vincentmudimeli4430 Жыл бұрын
your lesson is wow you are a good teacher we need people like you who motivate by making complex lesson easy to understand keep up revolutionazing the world though education
@sanopann1896
@sanopann1896 Жыл бұрын
big bro i need help please. at 32:04 how did he got the answer of cos 30 degree and sin 30 degree
@Ageru-jn9sx
@Ageru-jn9sx Жыл бұрын
I haven't any word that express my happiness about yor lecture
@sergeinazi8256
@sergeinazi8256 3 жыл бұрын
Thank you very much for the video. Really appreciate it, love from Malaysia
@johnsteel8421
@johnsteel8421 Жыл бұрын
You really helped me in saving my time i was taking a lot of time to understand math
@thae427
@thae427 5 ай бұрын
you have somehow managed to teach me more within an hour than my professor has taught me in an entire semester, thank you!
@parmachine470
@parmachine470 2 жыл бұрын
Thank you for this and thank Euler for turning this into a quick calculation with his identity and a calculator.
@yeabtarapam
@yeabtarapam 2 жыл бұрын
thank you so much you helped me a lot other wise i have no words how happy i am now😊
@natashabuter
@natashabuter 10 ай бұрын
Thanks alot Your videos has really been of help to me in understanding a lot And my first year in the medical school is made easy by you Kudos 🤭🤭😌
@Hamza_AlZawahreh
@Hamza_AlZawahreh 2 жыл бұрын
الله يسعدك زي ما اسعدتني شكرا كثيير
@ugochiekechi8665
@ugochiekechi8665 2 жыл бұрын
Thank you so much. Please can you do a video of convergence and absolute convergence of complex number? 🥺❤️
@sircharlesdiary5002
@sircharlesdiary5002 Жыл бұрын
Well explained and understandable
@sanopann1896
@sanopann1896 9 ай бұрын
the only way to help him back is to watch the ads that pop out on his videos if you want to help him for his effort for posting here for free
@MorganTopa-lw8sv
@MorganTopa-lw8sv 3 ай бұрын
Really? Please explain how it helps cause not knowi gly i usaully skip the ads🙏
@itsmeprecious8814
@itsmeprecious8814 Жыл бұрын
The way he explains it ❤️❤️❤️🧡🧡🧡🧡❤️❤️❤️💕💕✨✨🔥
@rifatlucky1792
@rifatlucky1792 Жыл бұрын
You are the best math teacher in this world. ❤
@bassamwehbe4412
@bassamwehbe4412 2 жыл бұрын
I swear your videos are saving me 🥺
@bethyvicky5620
@bethyvicky5620 Жыл бұрын
You really did justice to this topic sir💃💃🎉🥳🥰 Thank you for being there❤️
@sanopann1896
@sanopann1896 Жыл бұрын
big bro i need your help please. at 17:00 how did he get the 45 degree
@timioluwole9370
@timioluwole9370 Жыл бұрын
Please for the conversion,what happened to the sign?
@georgesadler7830
@georgesadler7830 2 жыл бұрын
MR. Organic Chemistry Tutor, thank you for a monster lecture on Complex Numbers in Polar Form using De mo ivre's Theorem. These trigonometry/pre-calculus problems are very helpful for a solid analytical background.
@franklineodhiambo6955
@franklineodhiambo6955 Жыл бұрын
You are the best sir ....👏...how do you look like sir I really wanna now the who's person who knows everything
@julianpool5360
@julianpool5360 2 жыл бұрын
I'm doing Advanced Programming Mathematics in grade 11, tomorrow I'm writing an exam on this and you've just saved me
@user-rc7zt9og5l
@user-rc7zt9og5l 8 ай бұрын
very nice video .math becomes more interesting
@ntokotoPM
@ntokotoPM 3 жыл бұрын
Tomorrow I'm writing a test on this. I know. I'm definitely going to ace it
@sameedansar3552
@sameedansar3552 2 жыл бұрын
JazakAllah khair 🌟
@user-ql4wl4pq8g
@user-ql4wl4pq8g 9 ай бұрын
I am from Ethiopia thank you for sharing your knowledge with us!
@marigonarexhaj6605
@marigonarexhaj6605 2 жыл бұрын
Thanks!
@joelkhakhubi256
@joelkhakhubi256 2 жыл бұрын
I love your tutorials, much love from Kenya
@catherinengyema8169
@catherinengyema8169 2 жыл бұрын
We've helped me a lot in complex Analysis keep up the good work 💪💪💯
@hipmugger5952
@hipmugger5952 2 ай бұрын
The best teacher ever.
@akinsanyaayomide7543
@akinsanyaayomide7543 Жыл бұрын
you have been my great mentor sir 🥺😌😌😌 I love you so much sir .. I really appreciate ❤️❤️❤️💕💕💕
@miracleuchechi2141
@miracleuchechi2141 Жыл бұрын
This video is really helping me ... thanks 🙂
@markndiritu9156
@markndiritu9156 2 жыл бұрын
Since yr one he has been my tutor since calculus 1
@isaacnjuguna2147
@isaacnjuguna2147 2 жыл бұрын
God bless you men .....you are a life saver
@ojilesylvester7808
@ojilesylvester7808 10 ай бұрын
You deserve a grammy award 🥹
@wrokes
@wrokes Жыл бұрын
Mahn you just make math simple..... you make me to never quit doing math
@user-tp2wz1gq4z
@user-tp2wz1gq4z 5 ай бұрын
Firstly, I want to say Thank You for such in detail explanation. I was struggling to understand the topic, and this was the only video that helped me to fully undestand it. I liked that You gave the formulas at first and then started to solve problems starting from easy problems and gradually making it to harder ones. What I would suggest is to also include explanation when the angle is the principal argument (from -P to P) or choose any other interval. So there are also examples like that. And also I would highly appreciate if there was a part when you explain how to look at the problems when we write the polar form of the number, calculate R and factor it out, so were left with the sin and cos of the angles. Its another perspective which will make people to look at the problem from different angle and maybe grasp the concept better. BUT OVERALL, IT'S A LIFESAVING VIDEO!! Thanks to Your in detailed explanations I think I will survive and get my computers science degree :)
@tianyuema4797
@tianyuema4797 9 ай бұрын
Thank you so much for this wonderful video!
@aderintoolaoluwa7182
@aderintoolaoluwa7182 2 жыл бұрын
Thank you. This really helped
@DerangedIntellectual9
@DerangedIntellectual9 2 жыл бұрын
if only i had come to you a month ago instead of 2 days before my midterm, my life would be much better right now
@maxkelvin3244
@maxkelvin3244 4 ай бұрын
Thank you very much sir for all your video's. It has helped me a lot ❤😊
@voluntinekonzolosasia
@voluntinekonzolosasia 5 ай бұрын
You're best lecturer have ever met
@markmelloanonymous1802
@markmelloanonymous1802 16 күн бұрын
this guy is a living legend
@hourglas9836
@hourglas9836 2 ай бұрын
Sir you are the best, may God bless you ❤😊
@user-hc4on6pg1n
@user-hc4on6pg1n 2 ай бұрын
God bless bro. I grew up with you. Still going
@mfundomthimkhulu7382
@mfundomthimkhulu7382 3 жыл бұрын
Thanks sir your job is great😊😊
@IsaacRobertoCordova
@IsaacRobertoCordova 5 ай бұрын
Thank you so much! 🙏🏻
@user-mz9io7lk5n
@user-mz9io7lk5n 5 ай бұрын
Thanks, well explained
@OrangePenguinEducation
@OrangePenguinEducation Жыл бұрын
this video helped me soo much, thank you alot.
@muhumedali4433
@muhumedali4433 3 жыл бұрын
Great love from kenya Africa
@idirisosman6784
@idirisosman6784 9 ай бұрын
thank you so much you are the best tutor
@nelsondarma6527
@nelsondarma6527 2 ай бұрын
thankyou for your videos!
@cheeseball5066
@cheeseball5066 4 ай бұрын
man I love this guy, absolute legend.
@madlalaempire6306
@madlalaempire6306 2 жыл бұрын
I'll find you Mr Gonzales, and compensate you accordingly... You're the man🧠
@abbedmuyinda6832
@abbedmuyinda6832 3 жыл бұрын
Good teacher 🙏
@user-bh2zq1iy5z
@user-bh2zq1iy5z Жыл бұрын
Great teacher you are
@ruanbasson
@ruanbasson Жыл бұрын
Thank you!! No where i saw the degree over 1 times pi over 180. That was the link i missed
@atxmixgd3154
@atxmixgd3154 10 ай бұрын
thanks dude this video helped a lot.
@rudiyantoars6907
@rudiyantoars6907 Жыл бұрын
Thank’s, it’s so much help me
@akashi_cz
@akashi_cz Жыл бұрын
this is so helpful, ur a math god
@jasumeen6053
@jasumeen6053 Жыл бұрын
bruh you're saving me every dang time
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