De Moivre's Theorem powers of Polar Complex Numbers

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  • Опубликовано: 17 дек 2024

Комментарии • 258

  • @cindym.9827
    @cindym.9827 4 года назад +7

    I have a final for my complex variables class this week and I was going through the review and came across a problem regarding this, and I totally forgot how to solve it until I came across this video. This is the best video on this topic on RUclips. Thank you so much!!!!!

    • @profrobbob
      @profrobbob  4 года назад +1

      You are very welcome @Cindy Cindy! ...and thank you for the promo and for taking the time to "thank the teacher"!!! Please keep spreading the word and sharing this channel with all the math teachers at your school so other self-motivated students like yourself know where to find free math help...BAM!!!

  • @profrobbob
    @profrobbob  12 лет назад +1

    Thanks for the tip. This is definitely a "learn as I go" process. I didn't even know you could add quick links to a certain times of a video until just now!!! Now I have something else new to learn:D

  • @georgesadler7830
    @georgesadler7830 2 года назад +1

    Professor RobBob, thank you for a beautiful lecture/video on DeMoivre's Theorem powers of Polar Complex Numbers. This makes life much easier when raising Complex Numbers to high powers.

  • @ceroorec2153
    @ceroorec2153 2 года назад +1

    In a complex analysis course and in over my head, you're a life saver far beyond trig students!

    • @profrobbob
      @profrobbob  2 года назад

      Sounds like the perfect time to like, sub and share this channel and it's free study resources with your teacher so ALL current and future students know where to find free help if they are as dedicated at you to study and seek outside help...BAM!!!
      Please SPREAD THE WORD :D

  • @sedricacevedo188
    @sedricacevedo188 10 лет назад +31

    i cannot begin to express how much sense you made , i love you and your daddy jeans :D . gracias senor

    • @profrobbob
      @profrobbob  10 лет назад +9

      Good thing it's NOT the jeans that make the man huh?!...lol
      You're welcome and thanks Sedric Acevedo for watching, liking and subbing...please tell all your friends, class and teachers to watch and do the same...BAM!!!

  • @jakea563
    @jakea563 12 лет назад +1

    Extremely well done. You are an excellent teacher and a very clear, neat writer

  • @iMaxed0utHD
    @iMaxed0utHD 10 лет назад +1

    You my friend are a life saver! I was out of school for 2 week on a college tour and missed not 1, not 2, but 6 lessons!! When I got back, my teacher tried to catch me up, and rushed over the material and I did not get it AT ALL! This short 14-15 minute video made it SUUUUUPER simple and easy! Thank you so much! You got my sub! Will come back for more help (:

    • @profrobbob
      @profrobbob  10 лет назад

      You're welcome and thanks for taking time to "Thank the Teacher"
      I appreciate the like and sub too iMaxed0utHD and I'm happy to hear that my videos supplied you with the life-ring you needed to keep you from drowning in that sea of math questions! Sounds like the perfect opportunity to share your experience and my channel with your teacher as an after school study reference to share with other students who might need some FREE after school math help!

  • @profrobbob
    @profrobbob  11 лет назад

    Thank you for watching and your support:)

  • @stuckinthepast
    @stuckinthepast 10 лет назад

    I cant thank you enough for posting your videos online and offering these free lessons. I have been terrible at math most of my life(until now after watching your videos) and took the task of taking trig and pre cal in one semester following my full time job in order to play catch up and pursue my dream of obtaining BSEE. I watched both playlists and every video always made sense. I don't think i could have passed BOTH classes without these. Thank you once again ProfRobBob i will be looking forward to the calc. series videos!

    • @profrobbob
      @profrobbob  10 лет назад

      You are so welcome stuckinthepast and thanks for taking the time to "thank the teacher" thats the kind of motivation that keeps us going!
      Keep us those awesome study habits and you'll have that degree before you know it...thanks for allowing me to help make those dreams a reality...BAM!!!

  • @timmayguy94
    @timmayguy94 10 лет назад +3

    I don't even bother watching my math lecture at uni. You explain this (And everything else) a lot easier and straight to the point. Thanks Rob !

    • @profrobbob
      @profrobbob  10 лет назад

      You're welcome and Thanks for watching and subbing Tim Border but don't miss that math lecture on account of me...your professor might have a different way of teaching the lesson and teach you something additional...you can never have too much knowledge or practice when it comes to math:)

  • @markidstrom5287
    @markidstrom5287 9 лет назад +2

    So many videos about this online and this is the only one that I actually understood. Thanks for being thorough.

    • @profrobbob
      @profrobbob  9 лет назад

      +Mark Idstrom you're welcome and thanks for taking the time to share your appreciation, like, sub and sit thru the whole lesson...BAM!!!

  • @profrobbob
    @profrobbob  11 лет назад

    -pi/4 is in quadrant 4 where as the point we are converting is in quadrant 2. 3pi/4 is a rotation that takes you into quadrant 4.

  • @profrobbob
    @profrobbob  12 лет назад

    sqrt3-i is in quadrant four. Tan(theta)=(-1/sqrt3) theta=inverseTan(-sqrt3/3) which equals -pi/6. So you want to use (11pi)/6 as your angle between 0 and 2pi

  • @profrobbob
    @profrobbob  12 лет назад

    No worries...nice to hear that you were busy studying, that makes you exempt you know!

  • @davidatkins2133
    @davidatkins2133 10 лет назад +2

    Thank you you made that so simple and easy to understand our maths lecturer seriously over complicated de moivre theorem, thanks for making it seem so easy.

    • @profrobbob
      @profrobbob  10 лет назад +1

      You're welcome..and thank you for choosing Tarrou's Chalk Talk to learn from and subscribe to:) Keep spreading the word and help us groW and help others!

  • @profrobbob
    @profrobbob  11 лет назад

    I am assuming you are talking about minute 9:24. Yes you are correct. Since the x and y coordinates are the same you are looking at some multiple of pi/4 and with the negative x and positive y you are in quadrant 2 so the angle is 3pi/4:) You are very welcome....thanks for working so hard on your math studies.

  • @butterflylover115
    @butterflylover115 10 лет назад +1

    Mr. Tarrou, thank you so much for posting these RUclips videos. I am able to do my homework after watching your videos and taking notes. Thank you so much. I greatly appreciate you. I have not taken Trigonometry in high school and am not taking it so I can pass the High School Praxis II Math Test. I want to be a math teacher so much. You have made it easier for me to do my homework. I know I will pass my college Precalculus Trigonometry class thanks to you.

    • @profrobbob
      @profrobbob  10 лет назад

      You're welcome Senecca:) The world needs more teachers who are passionate about their profession and I wish you all the best in achieving your dream of teaching math someday! One of my favorite quotes is: "If you choose a job you LOVE you will never have to WORK a day in your life!" That's how I feel most days and I've been teaching for almost 19 years now...and RUclips teaching has brought it to a whole new level:) I hope you will SUBSCRIBE and share my channel with others who might benefit from my videos:D...and keep me posted on your progress.

    • @butterflylover115
      @butterflylover115 10 лет назад +1

      Thank you so much for the words of encouragement they are greatly appreciated. I will keep you posted on my progress. Thanks for replying back to my post. You make teaching look fun and I can tell you love what you do. Once again thanks for posting the videos and thanks for the encouraging words.

    • @profrobbob
      @profrobbob  10 лет назад +1

      Senecca Hagens BAM!!! Now go pass that Praxis Test with confidence!

    • @butterflylover115
      @butterflylover115 10 лет назад +1

      Thank you so much sir. I plan on doing great things and be able to help students.

  • @Traketo96
    @Traketo96 10 лет назад +4

    Thank You Mr.Tarrou! Once again I've been saved by your BAM magic :) you're awesome, greetings from Broward County, FL.

  • @DreyKuzin
    @DreyKuzin 8 лет назад +1

    Thank you for these great videos! I dont know what Id be doing without them because Ive practically self taught myself these topics with your videos. Thanks once again I really appreciate it!

    • @profrobbob
      @profrobbob  8 лет назад

      You're welcome and thanks for supporting my channel...don't forget to like, sub and share my channel whenever you get the opportunity:D
      Thanks!

  • @bananamangoes01
    @bananamangoes01 3 года назад +4

    Finally!!!! One good friendly video about De Moivre's Theorem, I was about to lose hope 😍 Thank you, Prof!!

    • @profrobbob
      @profrobbob  3 года назад +2

      You're welcome...glad I could help!
      Please help us by liking, subbing and sharing this channel thru all social medias and with your teacher and classmates...BAM!!!

    • @aashsyed1277
      @aashsyed1277 3 года назад

      @@profrobbob thanks! BAM!!!!!!!!!!!!!!!!!!

    • @sefakomphuthi6097
      @sefakomphuthi6097 2 года назад

      Same here...

  • @theshorts9438
    @theshorts9438 9 лет назад +1

    mind blowing teacher. I wish I had you last year but glad to find you now. best youtube teacher ever

    • @profrobbob
      @profrobbob  9 лет назад

      +bilal manzoor thanks for watching, subbing and sharing such a nice compliment!
      Please keep sharing this free educational channel with everyone and remind them to like, sub, share thru social medias and with others to help us keep growing:D

  • @profrobbob
    @profrobbob  11 лет назад

    I made a 2 part video about Setting Up the Unit Circle. I basically count my 30 degrees or pi/6 and then 45 degrees or pi/4 for the angle measures...and then reduce:) I am planning for teaching Calculus live for the first time this year so that is taking up all my time!

  • @profrobbob
    @profrobbob  11 лет назад

    Thanks for keeping me in check...sorry about the missing parenthesis but when I get on a roll I just don't stop long enough to check my work:( I will be adding an annotation so as not to cause any future unresolved tension to anyone else's day:)...lol
    Thanks for taking the time to comment!

  • @no2study
    @no2study 9 лет назад +1

    Thanks for the video. There are so many videos about this but yours is the only one I was able to understand. Our Trigonometry class uses an Online HW and Quiz system per chapter. So even though our Professor didn't teach this thing because he skipped that particular section of the book it was included in the online Quiz because our Prof cannot pick out questions for Quizzes, he can only pick questions on Homeworks. Thanks to this video I was able to solve the question on the quiz and got it right. You have gained a new subscriber thanks to this problem. Cannot wait to use more of your videos in the future chapters of our Trig class and next semester once I get to Calculus.

    • @profrobbob
      @profrobbob  9 лет назад +2

      +no2study I'm glad you found the help you needed and I hope you will share my channel with your friends, classmates and teachers and please remind them to help these free educational channels grow by liking, subbing and sharing:D
      I too look forward to being your RUclips math teacher...BAM!!!

  • @trkingdavid4943
    @trkingdavid4943 4 года назад

    i like the way you introduce the lesson

    • @profrobbob
      @profrobbob  4 года назад +1

      Thanks for watching ...and there is plenty more in all my future lessons...BAM!!!

  • @meg_pa
    @meg_pa 11 лет назад +2

    This might be a simple question, but where did you get the 3π/4?? Did you take it from the unit circle?? Thank you so much for your help.

  • @surajmadray9044
    @surajmadray9044 9 лет назад +2

    This so helpful to me it makes learning so much easier, its like a review thats simple

    • @profrobbob
      @profrobbob  9 лет назад

      Suraj Madray I'm happy to hear you found the lesson so helpful, please share my channel and your experience with others:D

  • @salamanda11
    @salamanda11 10 лет назад +3

    I appreciate how much care you take in erasing the board. There's nothing worse than sitting through a class where the professor fails to erase everything.
    These are great videos as well. I'm currently reviewing nearly all of my mathematical knowledge as I'm studying for a teaching exam. Thank you for your help!

  • @profrobbob
    @profrobbob  11 лет назад

    Thanks for watching and choosing Tarrou's Chalk Talk!
    Sorry for the delay but I have all comments set up for approval:)

  • @issackismail8943
    @issackismail8943 2 года назад

    Thank you sir,I this semester I didn't attended any of my complex number clauses,but I'm teaching my friend who never missed any of the lessons but he's requesting me to teach him,thanks for your perfect explanation I know everything.

    • @profrobbob
      @profrobbob  2 года назад

      Glad I can assist you with your teaching too!
      Don't forget to like, sub and share this channel with everyone..BAM!!!

  • @RemigiusKalimba
    @RemigiusKalimba 11 лет назад +1

    Hey the way you count out that unit circle has always puzzled me, could you please do a video on it?

  • @Alsjoq10
    @Alsjoq10 9 лет назад +1

    I actually watched like 15 seconds of your movie, but that's what I was looking for. Thanks a lot!

    • @profrobbob
      @profrobbob  9 лет назад

      +alcheng you're welcome, thanks for watching, learning and liking...please subscribe and share too:D

  • @sachinprabhuram5765
    @sachinprabhuram5765 3 года назад +1

    I love your energy

    • @profrobbob
      @profrobbob  3 года назад

      Thanks!
      Please sub and are the love and this channel with EVERYONE!!!

  • @catherinehernandez2935
    @catherinehernandez2935 7 лет назад

    Hey Mr. Tarrou! Wish I had found your channel earlier, but thanks so much for your videos! It's a huge help. BAM!

  • @TalhaKhan-1996
    @TalhaKhan-1996 5 лет назад +1

    Hello professor Rob.. I am here for second time. Previously I was make learnt the polar form of complex number by you.. Just one night before my calculus exam.. And now this demoivre theorm.. Including this I have downloaded your roots of complex number as well bcz our next topic is that only.. So thank you professor Rob for being here to help us.. Thank you so much sir and lots of love 😍 😍 and respect for you from Pakistan 🇵🇰

    • @profrobbob
      @profrobbob  4 года назад +1

      Welcome back and greetings from Florida.
      Thanks for returning to keep learning from this channel!
      Please take the time to subscribe and share this free resource with everyone to help us keep growing and helping others and best of luck in your future studies...BAM!!!

  • @Daski69
    @Daski69 11 лет назад

    You're my favourite math teacher alongside Sal Khan. I've seriously learned more from watching you for a few minutes than in a four hour math class.
    What's your education? I used to be a bundle of trouble that hated math and now math has replaced meth for me (I've never done meth, you get the metaphor) and I can't decide what to major in in the university.

  • @profrobbob
    @profrobbob  9 лет назад +4

    Now with Closed Captions #math DeMoivre's Powers of Polar Complex Numbers

  • @profrobbob
    @profrobbob  11 лет назад

    WOW...THANK YOU!...I take that as quite the compliment since Khan was my inspiration. I started these videos simply to help a student who was going to miss some lessons and knew Kahn offered free RUclips help...almost 2 years later, here I am with over 400 videos myself. (...much like your meth metaphor:)..lol
    CBS says: "over a million teachers will be retiring in the next decade"...sounds like there is going to be a great need for some passionate replacements!

  • @ghufranullah
    @ghufranullah 11 лет назад

    Thanks man ! . This video needs more views and likes!

  • @AA-vl4iw
    @AA-vl4iw 7 лет назад

    You're actually the greatest of all time all I have to do is watch your vids and I'm good with my math

    • @profrobbob
      @profrobbob  7 лет назад

      Thanks for watching, glad to hear I'm helping!
      Pleas share this free channel with everyone and remind them to like, sub and keep spreading the word:D

  • @arianabedi
    @arianabedi 11 лет назад

    Hey this might be a little late but the -45° is what your calculator gives which the angle to from the nearest axes, however you always want to start from the 0° on the right side. So a simple 180°-45° gives you 135° which is the angle from the right side, same as what he found in the video (3pi/4).

  • @mch86
    @mch86 7 лет назад +2

    I just wish I had a teacher as cool as you are. You will help me be the man of my dreams!

    • @profrobbob
      @profrobbob  7 лет назад

      Now that you've subbed...at least I can be your RUclips teacher! You might find it easier to search subjects on my webpage at www.profrobbob.com
      Keep that positive outlook and YOU will be whatever you want to be...BAM!!!

  • @sergkarageuzian8756
    @sergkarageuzian8756 10 лет назад

    BAAAAM! Once again, you're the best. I will be up all night watching your vids, Mr. Tarrou!

    • @profrobbob
      @profrobbob  10 лет назад

      Sorry to hear you have to stay up all night Serg Karageuzian but it's great to hear from such motivated, hard working students! All that hard work will be worth it when you see those grades...BAM!!!

  • @mjbakedbeans
    @mjbakedbeans 4 года назад +1

    I missed a day of school and the textbook uses too much complex wording. Appreciate what you've done.

    • @profrobbob
      @profrobbob  4 года назад

      Thanks for the appreciation and for seeking outside help and choosing us!
      Please sub and share this free study resource and my 600plus videos with everyone...BAM!!!

  • @Respect-bw9wg
    @Respect-bw9wg 4 года назад +1

    thank you for helping us sir

    • @profrobbob
      @profrobbob  4 года назад

      You're welcome and thank you for watching and learning!
      Please take a minute to like, subscribe and share this channel with everyone, to help us keep growing and helping others...BAM!!!

  • @profrobbob
    @profrobbob  12 лет назад

    Thanks for the challenge. My book for these questions only give positive values so I bet I made the same mistake as you on my first attempt. I bet your polar form of -8 was -8(cos(180)+isin(180)) but that puts the point on the positive side of the real axis. If you write -8 as -8(cos0+isin0) or 8(cos180+isin180) you should get the correct answers.

  • @ZycL0n33
    @ZycL0n33 Год назад

    Bro, your penmanship is on point. Man, I wish I could write like you. 🔥🔥🔥🔥

  • @profrobbob
    @profrobbob  12 лет назад

    (1-i)^3 is -2-2i. Is that what you got?

  • @MBTw1gs
    @MBTw1gs 9 лет назад +8

    I love these lessons and the "BAM! Go do your homework"
    Classic!

    • @profrobbob
      @profrobbob  9 лет назад +4

      Tw1gs thanks for watching and be careful...I've been told if you watch long enough you'll start shouting out BAM!!! yourself :) lol

    • @MultiGoban
      @MultiGoban 9 лет назад +1

      ProfRobBob BAM!!

    • @profrobbob
      @profrobbob  9 лет назад +1

      MultiGoban :)

  • @1Carlcortez
    @1Carlcortez 8 лет назад

    Had to brush up on this before tutoring a student in pre-calc.
    Thanks!

    • @profrobbob
      @profrobbob  8 лет назад

      +Carl Cortez you're welcome, glad I could help:)

  • @profrobbob
    @profrobbob  11 лет назад +1

    You're welcome, thanks for watching!
    We could become the next super heroes duo...spacecaptainbob and profrobbob...lol

  • @_Anna_Nass_
    @_Anna_Nass_ 2 года назад

    This is helpful, thank you so much for taking the time to show WHY it works.

    • @profrobbob
      @profrobbob  2 года назад +1

      You're welcome...thanks for watching more videos! I'm starting from the newest comments and working my way down and noticed this is the second comment from you so THANKS for the support!!!

  • @shashankthapa659
    @shashankthapa659 9 лет назад +1

    Prof pls dnt cm like Bam on the front of screen! ur the best teacher i have ever seen!

  • @anishkumarsah3815
    @anishkumarsah3815 3 года назад +1

    Love and respect from India 🇮🇳❤

    • @profrobbob
      @profrobbob  3 года назад +1

      Greetings right back to you from sunny Florida and thanks for watching!
      Don't forget to like, subscribe and share this channel with everyone to help us keep growing and helping others everywhere...BAM!!!

  • @tilakkumarpatra1677
    @tilakkumarpatra1677 11 лет назад

    sir.....awesome explanation.....hats off to u.

  • @countryfan98
    @countryfan98 10 лет назад +1

    This helped me understand this a hell of a lot better than my professor can. Now I understand what I've been doing wrong.
    Btw, I'm so jealous of this guy's perfect handwriting.

    • @profrobbob
      @profrobbob  10 лет назад +1

      BAM!!! to that countryfan98 and thanks for choosing #ProfRobBob to watch and learn from!
      ...no need to be jealous of the writing, when you need a break from learning math I have videos teaching my cursive so you can learn it too:)

  • @profrobbob
    @profrobbob  13 лет назад

    @simuzar If you look at my Trigonometry playlist...or my Precalclus playlist...my videos are in the order they are in the textbook I teach from. However, not all textbooks with have these topics in exactly the same order.

  • @profrobbob
    @profrobbob  12 лет назад

    All the steps are the same. Find r which is equal to 2, find theta which turns out to be 330 degrees because the original point is in quadrant 4. Remember your unit circle! The final answer is -64. Let me know if these tips don't help!

  • @user-fr7zq4np3p
    @user-fr7zq4np3p 4 года назад

    I am from the Arab world, specifically Iraq, and I am following your videos - thank you ❤

    • @profrobbob
      @profrobbob  4 года назад

      Thanks you for watching and learning from this Florida teacher...BAM!!!
      Please take the time to like, subscribe and keep sharing this channel with everyone, and stay healthy!

  • @2407Summer
    @2407Summer 11 лет назад

    You Rock!! This video absolutely saved me!! What an amazing thing you are doing to help people! Thanks again

    • @profrobbob
      @profrobbob  11 лет назад

      And THANK YOU for watching, liking, subscribing and supporting my efforts!
      Please keep helping by spreading the word to all your friends and classmates and tell them to support by doing the same…I really appreciate the support:D

  • @profrobbob
    @profrobbob  11 лет назад

    I looked up that concept and though I have done much of the math involved separately, I have never taught eigenvalues.

  • @profrobbob
    @profrobbob  11 лет назад

    Maybe they could add the picture of "Tarrou's Chalk Talk" next to the definition:)
    And THANKS for all your support by liking and subscribing all the way from Thailand!...keep "your enthusiasm" and help my channel groW by spreading the word about me on your side of the world:D

  • @rhythmm860818
    @rhythmm860818 6 лет назад +1

    amazing explaination

  • @profrobbob
    @profrobbob  12 лет назад

    What was "it"?

  • @raultorres847
    @raultorres847 10 лет назад +1

    Man, you are the best. Thanks for teaching.

    • @profrobbob
      @profrobbob  10 лет назад

      You're welcome Raul Torres and thanks for liking, subbing, studying and taking the time to "thank the teacher" !

  • @profrobbob
    @profrobbob  12 лет назад +1

    YES!!!

  • @simuzar
    @simuzar 13 лет назад

    Thank you. Can you please code them somehow so that the order at which videos go will be clear.

  • @profrobbob
    @profrobbob  11 лет назад +1

    BAM!!!...that's what I like to hear about homework:) Thanks for liking and subscribing...and please share my channel with the other students in your class who may benefit from a little extra help like you did:D

  • @1pgpiracnchu858
    @1pgpiracnchu858 2 года назад

    Hi Sir, this video is not on your website "tarrous chalk talk". Can i recommened, you add this video + the one you did on complex numbers, and the third one on polar form to a playlist.

  • @makdlord
    @makdlord 10 лет назад +2

    Thanks Rob, you cleared my mind so much :)

    • @profrobbob
      @profrobbob  10 лет назад +1

      You're welcome Mak Nkiawete thanks for watching and subbing!
      ...a clear mind is good, it allows more room to fill it up with knowledge:)

  • @iashrai
    @iashrai 12 лет назад

    I also like your handwriting, so neat.

  • @D01byD1g1tal
    @D01byD1g1tal 11 лет назад

    Hi, I've just started watching your videos, i think there very good and your explanations are clear. You remind me of Destin from SmarterEveryDay :)
    You should do a video about eigenvalues and eigenvectors.

  • @radiosification
    @radiosification 10 лет назад +1

    Very well explained. Thanks for this excellent video

    • @profrobbob
      @profrobbob  10 лет назад

      And THANK YOU for watching!

  • @iashrai
    @iashrai 12 лет назад

    Yeah I tried that and got the right answers, thanks for your help :). Also, sorry about the late reply, I have got exams and busy studying.

  • @profrobbob
    @profrobbob  12 лет назад

    That is so cool!!! ...and very easy to figure out:)

  • @profrobbob
    @profrobbob  11 лет назад

    Thanks for showing your support by subscribing...and I hope this is just the start of my awesomeness for you...lol:D

  • @jasperscott6338
    @jasperscott6338 2 года назад

    The language translation on screen is blocking the calculations on the board

  • @andresvanmelckebeke5864
    @andresvanmelckebeke5864 7 месяцев назад

    Great video! Can you do a video about z² = - (sqrt(3)/2 + 1/2j)^20

  • @martinshamon9565
    @martinshamon9565 9 лет назад

    Hey Rob , great explaniation! But I have one problem and the problem is the square root of two in power of 7. Is there a way of learning how to deal with the square root of two and simplify it as you did in your example?

    • @profrobbob
      @profrobbob  9 лет назад

      Martin Shamon This may be more that you want, but this lesson will help. ruclips.net/video/tf2GGfm0zcA/видео.html Thank you for watching and learning from my videos:)

  • @Jako4460
    @Jako4460 7 лет назад +1

    Praise this man!

    • @profrobbob
      @profrobbob  7 лет назад

      ...and please SPREAD THE WORD too...BAM!!!
      Thanks for studying and subbing!

  • @iashrai
    @iashrai 12 лет назад

    good video, made this concept really clear for me :) However, I am getting different/incorrect answers for some of my practice questions. Could you please explain what I am doing differently or incorrectly.
    1) z^3 = -8, my solutions are 2, -1+1.73i and -1 - 1.73i. Answers in my book are -2, 1+ 1.73i and 1- 1.731.
    2) the square roots of -49. My solutions: (7 cis0) and 7(cis 180). The answers in the book are 7 (cis (-90)) and 7 (cis(90)).

  • @MichaelLagne
    @MichaelLagne 12 лет назад

    Thanks! but how do you do when the function contains a squared number like (sqrt3-i)^6?
    Thanks for all the help this is much more helpful ten mathclass = )

  • @sheikhtijanfaye3208
    @sheikhtijanfaye3208 6 лет назад +1

    nice video proff

  • @profrobbob
    @profrobbob  11 лет назад

    You're welcome! Guess you will just have to send a link to all your Facebook friends and Twitter followers telling them about this amazing math teacher and his video that you found on RUclips:D...LOL

  • @PlantEats
    @PlantEats 8 лет назад +1

    good save at 12:50

  • @kennethong1852
    @kennethong1852 6 лет назад

    Sir, may you please prove by mathematical induction?

  • @dwakyoola
    @dwakyoola 9 лет назад

    At around 4:00 why did you write i2sin Өcos Ө and not 2i sin Өcos Ө or 2(isin Өcos Ө? Are they the same and if not how so? Just based on simple algebra I would have thought you would distribute the 2 to every term.

    • @julycherries
      @julycherries 9 лет назад

      Magum i2sinӨcosӨ is the same thing as 2isinӨcosӨ. In both of those written forms, the 2 is already distributed in, just written differently. This is only one term since there is no + or - sign splitting it into separate terms. So you only need one "2."

    • @dwakyoola
      @dwakyoola 9 лет назад

      But 2i is different than just i is it not?

    • @julycherries
      @julycherries 9 лет назад

      Yes, 2i is different from i. But these two forms of this term both include "i" as well as "2" ...
      When we multiply several things together, the order does not matter: 2*3*6=2*6*3=6*3*2 etc. Therefore: i * 2 * sinӨ * cosӨ = 2 * i * sinӨ * cosӨ :-) Best of luck!

    • @dwakyoola
      @dwakyoola 9 лет назад +1

      Jennifer Freeman Ohh I understand now, that makes sense. I had the idea planted in my head that we were distributing the 2 to everything for some reason. Yea that makes perfect sense now! Thank you!

  • @profrobbob
    @profrobbob  12 лет назад

    Thanks...makes for less questions from my students when they can read:)

  • @toqa002
    @toqa002 6 лет назад +1

    this was extra useful, thank you prof

    • @profrobbob
      @profrobbob  6 лет назад

      You're welcome and thanks for studying and subbing!
      Keep sharing this channel with everyone...BAM!!!

  • @flyingboat10
    @flyingboat10 11 лет назад

    thank you so much! You make math super interesting!!

  • @profrobbob
    @profrobbob  12 лет назад

    YOU ARE SOOO WELCOME:):):)

  • @kimgomez8955
    @kimgomez8955 11 лет назад

    that was wayyyy better explained then my math teacher, thanks for the help off to do some homework lol

  • @MichaelLagne
    @MichaelLagne 12 лет назад

    Thanks! now I understand.
    Thanks again for all your amazing videos! = )

  • @ashw730
    @ashw730 7 лет назад +1

    Thank you so much. i was searching for a question like this. But how would you do [(sqrt(3)+1)+(sqrt(3)-1)i]^3

    • @dewanfourie9156
      @dewanfourie9156 7 лет назад

      Ash W sorry if I went wrong somewhere, im only matric

  • @nikhilyadav7669
    @nikhilyadav7669 9 лет назад +1

    it really helped me alot me .......... thanks

    • @profrobbob
      @profrobbob  9 лет назад

      +Nikhil Yadav you're welcome :)

  • @blackie491ify
    @blackie491ify 8 лет назад

    Hopefully this is te reason i pass my A level, keep it up sir

    • @profrobbob
      @profrobbob  8 лет назад

      thanks for liking, learning, subbing and studying with Tarrou's Chalk Talk!
      Spread the word:D

  • @kidi3back
    @kidi3back 12 лет назад

    Ahh.. yeah.. You do mention the double angle indentity, but i couldn't hear it because you said it so fast..
    But what about sin^2(x) and cos^2(x)?..

  • @profrobbob
    @profrobbob  12 лет назад

    I can't rewatch the video at this moment...but I am sure I used the double angle identity for sin.

  • @salmir4170
    @salmir4170 2 года назад

    Hi, I have a question, does this also work for rational powers less than 1 like (1/2)?

  • @samwelkariuki3114
    @samwelkariuki3114 3 года назад

    You are a good teacher

    • @profrobbob
      @profrobbob  2 года назад

      Thanks for saying so and for tuning in!...please spread the word:)