Complex Numbers : Modulus and Argument | ExamSolutions

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  • Опубликовано: 2 фев 2025

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  • @DW_-lb4mq
    @DW_-lb4mq 9 лет назад +161

    You have been helping me since i started a-level and are continuing to help me throughout me degree! THANK YOU!!!!!

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 лет назад +39

      Dan Waggon Pleased to be of service. Having your support means a lot.

    • @arlenebarnett9050
      @arlenebarnett9050 7 лет назад +3

      Saaaame im currently in A-levels tho

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      @arif2336 6 лет назад +4

      Yeah im currently doing Pure Maths in A levels Goodluck

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      @sandeepSingh-bs4cl 5 лет назад +1

      This taught in our country in 11 grade

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  • @eepower
    @eepower 2 года назад +12

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    @walletinmypocket 11 лет назад +16

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    @jasminemm6252 6 лет назад +6

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    @helloig5686 Год назад +3

    Got an A* in FM because of you legend

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +21

    Make sure your calculator is in radians mode. I suspect it is in degrees mode.

    • @imranalif4792
      @imranalif4792 2 года назад

      How do I take the calculator to radians mode in casio fx-991

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  2 года назад +4

      @@imranalif4792 Shift > Menu > 2:Angle input > 2: Radian

  • @hikarigenji7807
    @hikarigenji7807 3 года назад +16

    It’s been 9 years, and it still helps students like me.

    • @tanishakumar8831
      @tanishakumar8831 2 года назад +2

      My maths due date is tomorrow and here I am because I was lost in class.

  • @theLegeNdkillA95
    @theLegeNdkillA95 11 лет назад +1

    thank you sooo much, really helpful. when i get a job im donating to all the people who make videos like this on youtube

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +7

    Pleasure, pleasure, pleasure.

  • @chloemillar7427
    @chloemillar7427 8 лет назад +12

    Thank you so much. I was completely lost in class, then I found this video, and I finally understand! 😊❤❤

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  13 лет назад +7

    Thanks - my website makes navigation easier though.

    • @arik_bro
      @arik_bro 5 месяцев назад

      Its chewsday innit?

  • @agbortambeferinhoo2807
    @agbortambeferinhoo2807 2 года назад +2

    I wish I knew this site in my Ordinary and advanced level days. I'm a Maths Teacher, and it's really helping me out.

  • @hanisyamimi3509
    @hanisyamimi3509 3 года назад +1

    i realli like your clear explanations ;]]]]] may god bless you bro

  • @BobJones-kf3mi
    @BobJones-kf3mi 4 года назад +1

    Considering this video is over 8 years old you probably won’t read this but Thankyou so so much you have an excellent teaching style

  • @joshmullen6727
    @joshmullen6727 5 лет назад +1

    You are a lifesaver

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад

    Thanks for your support

  • @husseinasrasalah7348
    @husseinasrasalah7348 4 года назад

    You are the best teacher ever. May God bless you.

  • @111falak
    @111falak 12 лет назад

    thank you. what i like about your videos is you give all those little details that many'd just skip in their (very amazing) videos. those are exactly what i am looking for so many times.

  • @yavahado
    @yavahado 4 месяца назад

    thank you! i thought this topic was so confusing when i did it in class, but this made perfect sense

  • @mohanishsomnathe4897
    @mohanishsomnathe4897 8 лет назад +2

    Thank you sir this video is very helpful to me. I was not understanding this topic in my collage.

  • @SyntaxError-nz4kg
    @SyntaxError-nz4kg 4 года назад +1

    Thank you so much! I was unsure how the awnser of a problem where I have to find argument of a problem simply indicated as being -3i (so the real axis (Re) is 0), but you explained it perfectly in how the angle is measured from different segments. Because the point is in the 3pi over 2 line, the angle is pi over 2 (I know it's shown as a minus, but my teacher always siad an angle can never be negative so that's what had me confused and I THINK I understand it now, thanks to you). I would never have even known how to ask about this, but you awnsered it so perfectly, thank you sooo much!

  • @XxAbdulMxX
    @XxAbdulMxX 13 лет назад +2

    Thank you so much for taking the time to do this. You are amazing.

  • @Dunnonuffin1990
    @Dunnonuffin1990 10 лет назад +3

    Great help! Saved me big time!

  • @hindali5247
    @hindali5247 8 лет назад

    Thank you soooo much !!!! you are the best. I spent the whole day looking for explanation but no one was able to explain it that clear . THANKS!

  • @rashmikiranpandit8962
    @rashmikiranpandit8962 8 лет назад +2

    I was very confused with handling signs... After your explanation i feel m blessed... Thank u

  • @indikasamararatne926
    @indikasamararatne926 4 года назад

    Unbelievable video helped me a lot. Thanks

  • @riturajpandey3175
    @riturajpandey3175 9 лет назад

    A big thanks to Exam solution......its really helps me much to understand maths in a descent and easy explanation.....you removes my mathofobia slowly ...

  • @sarfarzmpa1364
    @sarfarzmpa1364 5 лет назад +1

    Thanks a lot you solved a big problem

  • @shashankvaidya2695
    @shashankvaidya2695 10 лет назад +6

    thanks a lot sir......it was a great explaination...loved it...very very interesting and helpful...

  • @Ilya_012
    @Ilya_012 11 месяцев назад

    THANK YOU! I LOVE YOU! you are saving me

  • @vijaymehta5782
    @vijaymehta5782 8 лет назад +3

    That was so much useful!! THANK YOU SIR YOU ARE BRILLIANT 👏👏👏

  • @valeryyakhno6362
    @valeryyakhno6362 2 года назад

    Thank you. Everything is clear and the examples are good.

  • @nicholasdboss3680
    @nicholasdboss3680 8 лет назад +1

    BEST TUTORIAL DUDE KEEP UP THE WORK!!!!

  • @AnesuC
    @AnesuC 9 лет назад

    This video literally saved me after a long time of trying to figure it all out. Thanks and subbed!

  • @f1diouf195
    @f1diouf195 4 года назад +1

    Thank you. Amazing video

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

    it was very helpful thank you

  • @palak_dhyani
    @palak_dhyani 3 года назад +1

    Tomorrow is my exam..thanx for the explanation 🤩

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +3

    Yes

  • @abidshahriar7346
    @abidshahriar7346 Год назад

    Sir thank u so much. I got my annual examinations next week and math is the 2nd exam... I completely forgot how to do this but you explained it so simply...

  • @natasha3550
    @natasha3550 6 месяцев назад

    Thank you so muchhhhh... I could understand very easily 😆😆😆

  • @poonammhaske6441
    @poonammhaske6441 2 года назад

    Brilliant explanation 🙏

  • @petelok9969
    @petelok9969 Год назад

    Nice, very clear. Thanks 😊

  • @clhe3375
    @clhe3375 8 лет назад +1

    YES THANK YOU FINALLY I UNDERSTAND YAYYYYYYYYYY

  • @syazanazifa2516
    @syazanazifa2516 3 года назад

    just found your channel today. tqvm for the best explanation

  • @badcode1704
    @badcode1704 4 года назад +2

    this is still helpful even after 8 years

  • @MathwithWaqasShah
    @MathwithWaqasShah 2 года назад

    excellent lecture sir

  • @mansoorsamadi1464
    @mansoorsamadi1464 7 лет назад

    Thanks a lot, i was reading on my textbook and didnt understand much but you got me in 17min thanks!!

  • @limjix
    @limjix 13 лет назад +1

    This is awesome! thanks for explaining it so clearly! I have been following your channel and its really good!

  • @mariaaparicio4276
    @mariaaparicio4276 Год назад

    This was so helpful, thank you!

  • @sorewahimitsu
    @sorewahimitsu Год назад

    bangin vid, straight to the point. cheers

  • @EvanMcLaren
    @EvanMcLaren 2 года назад +1

    Thanks, this was helpful.

  • @bharathjayachandran9062
    @bharathjayachandran9062 3 года назад

    This video really helped!! Thanks a lot!!!

  • @iuliabelet4978
    @iuliabelet4978 7 лет назад

    a real life saver ! thank you so much for making these videos.

  • @redbladsel
    @redbladsel 12 лет назад

    seriously this is very helpful!
    thanks a lot!!

  • @williamscott8961
    @williamscott8961 5 лет назад +3

    Thank you so much!!! This was explained really poorly in my lectures

  • @luisnazareth9193
    @luisnazareth9193 3 года назад

    Best explanation!

  • @nidhikatyayni8755
    @nidhikatyayni8755 10 лет назад

    thanx.... u r awsm ....u r great,,.. i hate maths at a tim but aftr tautng u i love maths,,thank u

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 2 года назад

    Great vid! Another care should be taken when talking about Arg(z) and arg(z).

  • @Thetennisfan1000
    @Thetennisfan1000 12 лет назад +1

    hey are you gonna finish fp1 videos?i love the quality, and im selfteaching fp1

  • @شذاالغامدي-ظ5ي
    @شذاالغامدي-ظ5ي 4 месяца назад

    Amazing, thanks alot

  • @mathsir2042
    @mathsir2042 8 лет назад

    very precise and to the point. thanks

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад

    yes

  • @richardlighten7076
    @richardlighten7076 7 лет назад

    fantastic as ever , makes it so easy thanks

  • @bradduke
    @bradduke 12 лет назад

    Brilliant - looking forward to my exams now!!

    • @hq448
      @hq448 3 года назад

      How was the exam

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад

    Yes I will but not till later this year now.

  • @emmanuelkwameboadi770
    @emmanuelkwameboadi770 5 лет назад

    May God bless you sir...Thank you very much

  • @hannahpatel7197
    @hannahpatel7197 7 лет назад

    Massive thank you! So beautifully explained

  • @elsielin4328
    @elsielin4328 10 лет назад

    Thanks a lot. your video helps me a lot!

  • @zvikomborerozvevhu3763
    @zvikomborerozvevhu3763 Год назад

    Yo made it look so easy thank u

  • @sadianosheen3528
    @sadianosheen3528 3 года назад

    Excellent explanation

  • @hamnachaudhary4657
    @hamnachaudhary4657 6 лет назад

    Helped a lot👍

  • @nimrod7690
    @nimrod7690 12 лет назад

    you are GREAT, thanks a lot!!

  • @shreevasharma1761
    @shreevasharma1761 9 лет назад

    It was really helpful. thank you so much!

  • @ernie345
    @ernie345 2 года назад

    Wow! Thank you so much

  • @Ash99Ob
    @Ash99Ob 10 лет назад +1

    Thanks a lot
    Very very helpful :)

  • @VuyoArt
    @VuyoArt 5 лет назад

    thank you sir amazing work
    God Bless You

  • @ripudamansingh8399
    @ripudamansingh8399 6 лет назад

    Thank you so much! This video has helped so much, I really appreciate your work

  • @rawass7493
    @rawass7493 Год назад

    thank you very much

  • @soham1721
    @soham1721 9 лет назад +1

    Tomorrow I have a maths test and u saved me....

  • @KanishyaGanesalingam
    @KanishyaGanesalingam 11 лет назад

    THANK YOU THANK YOU THANK YOU!

  • @serpentgamer7396
    @serpentgamer7396 Год назад

    question? do you require to keep your calculator in radians mode all the time for complex numbers?

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 лет назад +1

    The word is quadrant. The first quadrant is the section in the top right of the cross going from 0 to 90 degrees. The 2nd quadrant is the top right going from 90 to 180 degrees. The 3rd quadrant goes from 180 to 270 degrees and the 4th quadrant from 270 to 360 degrees.

  • @sahelaria993
    @sahelaria993 Год назад

    Very helpful thanks

  • @sripavanchunchu5735
    @sripavanchunchu5735 Год назад

    Great video sir

  • @aries-9286
    @aries-9286 8 лет назад

    Thank you so much!

  • @jyotishmahenry4082
    @jyotishmahenry4082 4 года назад

    Bruh...u explained this within 16 mins and 49 seconds and made me understand while my teacher explained it over an hour and i still couldn't understand.

  • @blahbleh5671
    @blahbleh5671 8 лет назад

    It's much easier to just consider this rule:
    argz=tan^-1(y/x) (+/ - pi for fourth and third quadrant respectively)
    i.e. Add pi if z on the argand diagram falls in the top left quadrant.
    Subtract pi if z on the argand diagram falls in the bottom left quadrant.

  • @arinzeani1709
    @arinzeani1709 7 лет назад +2

    how do you know where to label the acute angle (alpha) on the line of Z

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад +1

    Yep, I rely on donations and advertising

  • @HWFieldGoal
    @HWFieldGoal 3 года назад

    Thank you for thid interesting video

  • @ethanlim23
    @ethanlim23 5 лет назад +1

    I have a question.
    Let's say z=1+i
    Argument of z would then be equals to 45 degrees. How about the argument of 2z?
    Do you take 2 times 45 degrees? Or is the argument of 2z still equals to 45 degrees?

  • @gayanprasanna4552
    @gayanprasanna4552 10 лет назад +1

    very very helpful.Yhank you

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад

    Good luck.

  • @henum007
    @henum007 12 лет назад

    Thanx really helpful!!!

  • @jakeminshall4969
    @jakeminshall4969 Год назад

    Great video

  • @elijahphilips9462
    @elijahphilips9462 3 года назад

    I just understand that if the real number is negative then you are going to have 'negative(π negative the answer in rads)'
    Thank you so much sir jah Bless

  • @VK-il9kv
    @VK-il9kv 4 года назад

    at 6:21, why do u use the modules of b and a, and not just b and a?

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 лет назад

    Pleasure

  • @catherinegutierrez2024
    @catherinegutierrez2024 Год назад

    Big help
    Thanks

  • @hiitsmetom_9055
    @hiitsmetom_9055 3 года назад

    Great video