Complex Numbers : Modulus and Argument | ExamSolutions

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  • เผยแพร่เมื่อ 18 พ.ย. 2024

ความคิดเห็น • 243

  • @DW_-lb4mq
    @DW_-lb4mq 9 ปีที่แล้ว +163

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    • @ExamSolutions_Maths
      @ExamSolutions_Maths  9 ปีที่แล้ว +39

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

    • @arlenebarnett9050
      @arlenebarnett9050 7 ปีที่แล้ว +3

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    • @arif2336
      @arif2336 6 ปีที่แล้ว +4

      Yeah im currently doing Pure Maths in A levels Goodluck

    • @sandeepSingh-bs4cl
      @sandeepSingh-bs4cl 5 ปีที่แล้ว +1

      This taught in our country in 11 grade

    • @Sibasish07
      @Sibasish07 4 ปีที่แล้ว +2

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  • @eepower
    @eepower 2 ปีที่แล้ว +12

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  • @walletinmypocket
    @walletinmypocket 11 ปีที่แล้ว +17

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    @helloig5686 ปีที่แล้ว +3

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    @jasminemm6252 6 ปีที่แล้ว +6

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  • @hikarigenji7807
    @hikarigenji7807 3 ปีที่แล้ว +16

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

    • @tanishakumar8831
      @tanishakumar8831 2 ปีที่แล้ว +2

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

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +21

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

    • @imranalif4792
      @imranalif4792 2 ปีที่แล้ว

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

    • @ExamSolutions_Maths
      @ExamSolutions_Maths  2 ปีที่แล้ว +4

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

  • @theLegeNdkillA95
    @theLegeNdkillA95 11 ปีที่แล้ว +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

  • @agbortambeferinhoo2807
    @agbortambeferinhoo2807 2 ปีที่แล้ว +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.

  • @abidshahriar7346
    @abidshahriar7346 ปีที่แล้ว

    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...

  • @BobJones-kf3mi
    @BobJones-kf3mi 4 ปีที่แล้ว +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

  • @chloemillar7427
    @chloemillar7427 8 ปีที่แล้ว +12

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

  • @hanisyamimi3509
    @hanisyamimi3509 3 ปีที่แล้ว +1

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

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +7

    Pleasure, pleasure, pleasure.

  • @111falak
    @111falak 12 ปีที่แล้ว

    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 2 หลายเดือนก่อน

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

  • @rashmikiranpandit8962
    @rashmikiranpandit8962 8 ปีที่แล้ว +2

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

  • @husseinasrasalah7348
    @husseinasrasalah7348 4 ปีที่แล้ว

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

  • @martinhawrylkiewicz2025
    @martinhawrylkiewicz2025 2 ปีที่แล้ว

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

  • @mohanishsomnathe4897
    @mohanishsomnathe4897 7 ปีที่แล้ว +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 ปีที่แล้ว +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!

  • @joshmullen6727
    @joshmullen6727 4 ปีที่แล้ว +1

    You are a lifesaver

  • @palak_dhyani
    @palak_dhyani 3 ปีที่แล้ว +1

    Tomorrow is my exam..thanx for the explanation 🤩

  • @syazanazifa2516
    @syazanazifa2516 3 ปีที่แล้ว

    just found your channel today. tqvm for the best explanation

  • @valeryyakhno6362
    @valeryyakhno6362 2 ปีที่แล้ว

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

  • @riturajpandey3175
    @riturajpandey3175 9 ปีที่แล้ว

    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 ...

  • @f1diouf195
    @f1diouf195 4 ปีที่แล้ว +1

    Thank you. Amazing video

  • @sarfarzmpa1364
    @sarfarzmpa1364 5 ปีที่แล้ว +1

    Thanks a lot you solved a big problem

  • @indikasamararatne926
    @indikasamararatne926 4 ปีที่แล้ว

    Unbelievable video helped me a lot. Thanks

  • @Respect-bw9wg
    @Respect-bw9wg 4 ปีที่แล้ว +1

    it was very helpful thank you

  • @Dunnonuffin1990
    @Dunnonuffin1990 10 ปีที่แล้ว +3

    Great help! Saved me big time!

  • @serpentgamer7396
    @serpentgamer7396 11 หลายเดือนก่อน

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

  • @XxAbdulMxX
    @XxAbdulMxX 12 ปีที่แล้ว +2

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

  • @hindali5247
    @hindali5247 8 ปีที่แล้ว

    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!

  • @Ilya_012
    @Ilya_012 9 หลายเดือนก่อน

    THANK YOU! I LOVE YOU! you are saving me

  • @poonammhaske6441
    @poonammhaske6441 ปีที่แล้ว

    Brilliant explanation 🙏

  • @petelok9969
    @petelok9969 10 หลายเดือนก่อน

    Nice, very clear. Thanks 😊

  • @EvanMcLaren
    @EvanMcLaren 2 ปีที่แล้ว +1

    Thanks, this was helpful.

  • @mariaaparicio4276
    @mariaaparicio4276 ปีที่แล้ว

    This was so helpful, thank you!

  • @sadianosheen3528
    @sadianosheen3528 3 ปีที่แล้ว

    Excellent explanation

  • @Thetennisfan1000
    @Thetennisfan1000 12 ปีที่แล้ว +1

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

  • @MathwithWaqasShah
    @MathwithWaqasShah 2 ปีที่แล้ว

    excellent lecture sir

  • @vijaymehta5782
    @vijaymehta5782 8 ปีที่แล้ว +3

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

  • @shashankvaidya2695
    @shashankvaidya2695 10 ปีที่แล้ว +6

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

  • @nicholasdboss3680
    @nicholasdboss3680 8 ปีที่แล้ว +1

    BEST TUTORIAL DUDE KEEP UP THE WORK!!!!

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 ปีที่แล้ว +6

    Thanks - my website makes navigation easier though.

    • @arik_bro
      @arik_bro 2 หลายเดือนก่อน

      Its chewsday innit?

  • @mansoorsamadi1464
    @mansoorsamadi1464 7 ปีที่แล้ว

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

  • @williamscott8961
    @williamscott8961 5 ปีที่แล้ว +3

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

  • @ethanlim23
    @ethanlim23 5 ปีที่แล้ว +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?

  • @sorewahimitsu
    @sorewahimitsu ปีที่แล้ว

    bangin vid, straight to the point. cheers

  • @duluha.t.m
    @duluha.t.m 5 หลายเดือนก่อน

    What about finding complex when given, modulus and arg

  • @bharathjayachandran9062
    @bharathjayachandran9062 3 ปีที่แล้ว

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

  • @nidhikatyayni8755
    @nidhikatyayni8755 10 ปีที่แล้ว

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

  • @luisnazareth9193
    @luisnazareth9193 3 ปีที่แล้ว

    Best explanation!

  • @natasha3550
    @natasha3550 4 หลายเดือนก่อน

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

  • @شذاالغامدي-ظ5ي
    @شذاالغامدي-ظ5ي 2 หลายเดือนก่อน

    Amazing, thanks alot

  • @AnesuC
    @AnesuC 9 ปีที่แล้ว

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

  • @jyotishmahenry4082
    @jyotishmahenry4082 4 ปีที่แล้ว

    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.

  • @redbladsel
    @redbladsel 12 ปีที่แล้ว

    seriously this is very helpful!
    thanks a lot!!

  • @sahelaria993
    @sahelaria993 ปีที่แล้ว

    Very helpful thanks

  • @mathsir2042
    @mathsir2042 8 ปีที่แล้ว

    very precise and to the point. thanks

  • @zvikomborerozvevhu3763
    @zvikomborerozvevhu3763 ปีที่แล้ว

    Yo made it look so easy thank u

  • @arinzeani1709
    @arinzeani1709 7 ปีที่แล้ว +2

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

  • @hannahpatel7197
    @hannahpatel7197 7 ปีที่แล้ว

    Massive thank you! So beautifully explained

  • @blahbleh5671
    @blahbleh5671 7 ปีที่แล้ว

    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.

  • @iuliabelet4978
    @iuliabelet4978 6 ปีที่แล้ว

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

  • @elijahphilips9462
    @elijahphilips9462 3 ปีที่แล้ว

    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

  • @limjix
    @limjix 12 ปีที่แล้ว +1

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

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  12 ปีที่แล้ว

    Thanks for your support

  • @richardlighten7076
    @richardlighten7076 7 ปีที่แล้ว

    fantastic as ever , makes it so easy thanks

  • @sripavanchunchu5735
    @sripavanchunchu5735 10 หลายเดือนก่อน

    Great video sir

  • @bradduke
    @bradduke 12 ปีที่แล้ว

    Brilliant - looking forward to my exams now!!

    • @hq448
      @hq448 3 ปีที่แล้ว

      How was the exam

  • @VuyoArt
    @VuyoArt 5 ปีที่แล้ว

    thank you sir amazing work
    God Bless You

  • @shamsheershaik374
    @shamsheershaik374 11 ปีที่แล้ว +1

    if u can calc. theta in degrees ur job is done. angle in rad = (ang in deg) * pi / 180

  • @ernie345
    @ernie345 2 ปีที่แล้ว

    Wow! Thank you so much

  • @emmanuelkwameboadi770
    @emmanuelkwameboadi770 5 ปีที่แล้ว

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

  • @rawass7493
    @rawass7493 ปีที่แล้ว

    thank you very much

  • @ahmedjahenzaib148
    @ahmedjahenzaib148 3 ปีที่แล้ว

    *I often get confused while navigating through your TH-cam channel...there are several videos explaining the same topics, some are old and some are new. Please can u compile them*

  • @HWFieldGoal
    @HWFieldGoal 3 ปีที่แล้ว

    Thank you for thid interesting video

  • @elsielin4328
    @elsielin4328 9 ปีที่แล้ว

    Thanks a lot. your video helps me a lot!

  • @clhe3375
    @clhe3375 8 ปีที่แล้ว +1

    YES THANK YOU FINALLY I UNDERSTAND YAYYYYYYYYYY

  • @sohambanerjee8759
    @sohambanerjee8759 9 ปีที่แล้ว +1

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

  • @MathCuriousity
    @MathCuriousity ปีที่แล้ว

    What program was used to create this and what was used to “record” the program?!

  • @jakeminshall4969
    @jakeminshall4969 ปีที่แล้ว

    Great video

  • @hiitsmetom_9055
    @hiitsmetom_9055 3 ปีที่แล้ว

    Great video

  • @shreevasharma1761
    @shreevasharma1761 9 ปีที่แล้ว

    It was really helpful. thank you so much!

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +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.

  • @barakshp85
    @barakshp85 11 ปีที่แล้ว

    Please donate to this honorable man for helping us... I did...

  • @sarahlolo2100
    @sarahlolo2100 5 ปีที่แล้ว

    Is there a way to get the inverse tan answer without a calculator?? Please help this is helpful

    • @jsbaasi
      @jsbaasi 5 ปีที่แล้ว

      I don't think you're taught that in regular maths or further maths a level

  • @badcode1704
    @badcode1704 4 ปีที่แล้ว +2

    this is still helpful even after 8 years

  • @NATHANINBA
    @NATHANINBA 11 ปีที่แล้ว

    THANKS A LOT. one more doubt. how we get the value 1.17 rad for tan inverse 12/5. please elaborate. i cant able to get that. please and thanks a lot

  • @yeast4529
    @yeast4529 5 ปีที่แล้ว

    How often is it referred to as the ‘absolute value’ rather than ‘mod(z)’

  • @catherinegutierrez2024
    @catherinegutierrez2024 ปีที่แล้ว

    Big help
    Thanks

  • @ripudamansingh8399
    @ripudamansingh8399 6 ปีที่แล้ว

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

  • @nimrod7690
    @nimrod7690 12 ปีที่แล้ว

    you are GREAT, thanks a lot!!

  • @584emad
    @584emad 11 ปีที่แล้ว

    in the third quadrant , why did you put negative pie? thx

  • @hamnachaudhary4657
    @hamnachaudhary4657 6 ปีที่แล้ว

    Helped a lot👍

  • @thecoolguyvineet
    @thecoolguyvineet 11 ปีที่แล้ว

    can you tell us how to calculate radian without the calculator ? please ty

  • @ExamSolutions_Maths
    @ExamSolutions_Maths  11 ปีที่แล้ว +3

    Yes

  • @584emad
    @584emad 11 ปีที่แล้ว

    also , length can not be negative right?