Casio fx-991ES Calculator Tutorial #2.1: Complex Numbers_Explained!

Watch My Other Scientific Calculator Tutorials Below-
goo.gl/uiTDQS
Watch Part 2 of Complex Numbers-
• Casio fx-991ES Calcula...
In this video I'll tell you about Complex numbers in detail-
Topics Covered-
1. Basics of complex number
2. Graphing of complex number
3. Some formulas regarding complex number
5. Rectangular to polar conversion
6. Conjugate of complex number
7. Complex Number Addition
8. Subtraction
9. Multiplication
10. Division.
And how to do these calculations Using your Casio fx-991ES calculator!
I've uploaded videos on Statistics,Numerical Methods,
Business & Financial Mathematics,Operations Research,Computer Science,Electrical Engineering,Android Application Reviews,India Travel & Tourism,Street Foods,Life Hacks and many other topics.
And a series of videos showing how to use your scientific calculators Casio fx-991ES & fx-82MS to do maths easily.
Join me at my KZbin Channel- / sujoyn70
Join me at my Blog- www.sujoyn70.blogspot.com

[@sujoy70]

It can do a lot more things. Check all my calculator videos here- goo.gl/uiTDQS

[@asemmahdi4427]

Wow thanks a lot! I just rediscovered my calculator and I went to exams with this same calculator several times and wasted time over solving complex numbers manually without knowing the potential of my calculator! People go crazy over iPhones! A scientific calculator is lot more useful than that :D

[@sujoy70]

I appreciate your comment. Plz subscribe to stay connected :-)

[@sujoy70]

If this video has helped you,please "like" it & "subscribe". If you subscribe,you'll be notified by email whenever I upload a new video. And if you don’t have a youtube channel yet,by subscribing,you'll get one! If you "like" the video,you can later find the video under "likes" option on your own youtube channel. And don’t forget to share. Remember,"sharing is caring". Thank you all.

[@mikeybeamer6253]

Thank you very much for this excellent video. I have recently bought this model of calculator as I cannot use my TI-83 in engineering exams. I was unsure of how to do complex numbers with this Casio but now I know. Thank you again.

[@MrArekusa]

Thanks a million for this! I'm always too lazy to play around with my calculator myself, so this gave me a kick up the butt to start making it more useful!

[@blackblood1406]

I was searching for this for the last two days. Thank you!

[@Maria-hv2eq]

Thank you so much! My teacher wouldn't explain how to multiply rectangular like this and this way is so much easier to me! This will also help me on the hardest part of my test thank you!!!!

[@ishahzaibkhan]

I got so excited after watching the video. Thanks a lot.

[@jannar1400]

i loooooooooveeee yooouu, i simply had no clue how to use my calculator and u helped me so much ahahah thanks!

[@silvershil4]

ty so much you are a life saver and you are amazing

[@homeyhall63]

Very Good. Thank you

[@tahirakhtar7305]

sir i really appriciate your work. plz carry on.....

[@adhamal-hamdan5942]

Thanks a lot you have just helped me pass my exam :D

[@user-wt2ky2uq4k]

very helpful thanks!

[@amir.hmohammadi4240]

Thank you really helpful

[@abhideepsingh4484]

nicely explained!

[@sa6u03]

thank you so much, i'll take my exam because of you :)

[@Inertiasd]

Thanks a lot!!

[@Jecoopster]

YOU ARE THE BEST!!!!!

[@thedai8506]

i thought my calculator has nothng to do except for addition subs multiply and divide but there are lots of things. thanks sir

[@Sherlockfang]

thanks a lot!!!!!!!!! you made my final so easy. lol.

[@DanHlrzr]

Very useful, thanks :)

[@jaifaralaamri]

thank you very much

[@mariamalamiri26]

hi if I click sift>>mode>>complex...how can i use the second one(polar)??

[@dineshj1998]

awesome bro

[@cynthiadsouza2790]

Thankyou so much

[@prsarahart5534]

Thank Youu Soo Much From Morocco

[@Sanjay0311]

Very nice explanations sir.. Is there any method solving two complex equations on calci directly like we do with normal two equations 911MS.

[@sujoy70]

SY0311 I'm afraid there's no such method.

[@91pasty]

Does This calculator displays vectorial forms, after you do calculations in complex forms, for example, 25e^(j45°)?

[@BaderElFarran]

Thank you :)

[@ButterySkater]

youre a hero

[@kingX1X1]

thank you very much! I was trying to figure out how to type the imaginary unit on the calculator

[@sujoy70]

kingX1X1 It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@sumairafatima7732]

thank you :)

[@dhkaviviable]

Is there any way to find sinh(a+ib) with this calculator?

[@esraamohamed5601]

thank you

[@luckyclasses4832]

Sir, how to multiply two or three matrices which are in complex form

[@faisalal-balawi1473]

thanks greetings from Saudi Arabia

[@carlangeloangcana5372]

Hi, I just want to ask if there is convertion from (n) to feet when I press conv in number 8 because I need to calculate the board foot. Thanks!

[@sujoy70]

+Carl Angelo Angcana It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- kzbin.info/www/bejne/a4LWlYd7pKelf9E and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@mkhaled23]

thank you buddy

[@personalzxc]

May i know how to write modulus in calc.?

[@oneiropliktos]

Thank you,really helpfull :)

[@sujoy70]

Welcome! Please check my other videos on the same calculator!

[@Chris-sg6ju]

well explaned! :)

[@sujoy70]

Christian Best It's my pleasure! Comments from viewers like you really motivates me! Watch my other Calculator videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@stalker1567]

Really good so thankyou for your time and effort :-)

[@sujoy70]

Anthony Cole It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@WHY70122]

Good work as always man. One thing I wanna make sure is that if theta =arctan (base/height) or theta= arctan (height/base)? I'm looking at my FE Reference manual and it defines theta= arctan(y/x) which is the same as (height/base).

[@sujoy70]

WHY70122 It's my pleasure! Comments from viewers like you really motivates me! Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@RP-nh8jl]

Thanks!

[@sujoy70]

Ruolin Ping It's my pleasure! Comments from viewers like you really motivates me! Watch my other calculator videos here- goo.gl/uiTDQS also and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@nishantsrivastava360]

How to solve complex eqn.. equation having complex cofficient

[@WHY70122]

Also, is there any way that you can use the calculator to convert a given rectangular coordinate to polar coordinate of a complex number? for example (4+5i)^6? and would you explain me why the calculator won't do (4+5i)^6 please? I noticed that it will do the calculation up to (4+5i)^3, it will give "MATH ERROR" beyond the power 3. I will much appreciate it if you can do another video on this complex number topic.

[@sujoy70]

WHY70122 kzbin.info/www/bejne/hX3SqaNvrbSmb5Y

[@sheenamarieibabao6253]

thanks! i l laughed when you said"don t do this , use your calculator", LOl .. i wondered why some of my classmates finished our exam very fast, while "i" struggling . thanks , but how can you save and convert the answers in Polar and Rectangular? when it is in the Complex mode?

[@sm8261]

is to convert the complex number to trigonometric form? can find the angle of the complex number??

[@PriyashJichkar]

The calculator shows the resul of polar format calculation in the standard a+ib format. But I want the result in the polar format itself. How should I do that ?? Please Help!

[@sujoy70]

@Sherlockfang...My pleasure!

[@yashwanthm4108]

Thanks

[@firaskalboussi3007]

Hi , how to convert a complex number from normal form to polar form with this calculator ???

[@EladLending]

Can this calculator fx991es solve matrices with complex numbers?

[@Taric25]

I was wondering the exact same think. I will be taking the FE exam and need know if any of the calculators they allow can do this.

[@sujoy70]

Don't know about vectorial form,but you can change the answer to polar format after doing calculations in a+bi form by pressing Shift+ 2 + 3.

[@saurabhverma956]

CAN WE SOLVE complex no integral from calc..???? pls reply..

[@sujoy70]

R u talking about the problem u posted in your video response?

[@140519761]

nice

[@143rrahul]

how can we add angles like x dgrees y minutes z seconds

[@mishra1212mohit]

Hello sujoy sir you did a great job, I just want to let you know that if you add a video to demonstrate how to find the square root of a complex number on our fx 991es that would be beneficial for many scholars out there.

[@sujoy70]

Mohit Sims Mishra I will! Very soon! Keep in touch.

[@mishra1212mohit]

Waiting for it and Always in touch :)

[@khalilwafdi7549]

I have a problem in my caculater it makes only square 2 but l want 5 it gives me error please answer me. I will be so glad.

[@abinashgouda2066]

Can we solve complex number 2 variable equation in this calculator??

[@sujoy70]

For example?

[@sagaraivale]

does it possible to calculate magnitude and phase in fx 991ES calci....? and integration of sine,cosine equations...??

[@sujoy70]

Can u give some example of phase & magnitude questions? And yes,u can do integration of some Sin & Cos equations,not of very complex ones though.

[@shawnograph]

thank you for the video. How do i square root a complex number on the calcualtor? squareroot(3+3i) how should i type in? Thank you in advance!

[@sujoy70]

You can't square root a complex number. It'll end up in Math Error!

[@mishra1212mohit]

There's an indirect approach of just 2-3 steps for that, which gives accurate answer

[@sujoy70]

And what's that?

[@mishra1212mohit]

See its very simple.. 1. take the number in a+ib form 2. Convert the number in polar form using shift+2 3. Now you have r and theta 4. take square root of r directly 5. Divide the theta by 2 6. Now you have found the sqrt of complex number in r theta format 7. Convert this number again in a+ib format using shift+2. It gives 100% accurate answer. This trick has been found exclusively by me just an hour ago.

[@sujoy70]

Congrates :-) I'll make a video on that soon with courtesy- your name.

[@sujoy70]

Hope to upload next one by next month!

[@94D33M]

cant we do a complex exponential like e^j*pi ?

[@sujoy70]

+Mohammad Nadeem I think not possible. Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@soumiasiaba5208]

how can i use this option on KENKO calculator.....

[@sujoy70]

IDK friend. Thanks! Subscribe to my KZbin channel so that when I upload a new video, you get notified. If you like any of my videos, request you to please like & share it. Because sharing is caring :-)

[@mokhlesturkman8825]

Damn!! U r good

[@sujoy70]

+Loyal Turkman Thanks! Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@Rachel-rp7go]

need more complex number tutorial

[@sujoy70]

Give me some ideas!

[@VIBRANTVISION8]

Sir how to use theta symbol to solve basic formula problems like sin^2 theta + cos^2 theta=1 plzz plzzzz plzzzzzzz I have subscribed your channel so plZz help me

[@vikalpagg2011]

Paper bachane ke liye shukriya. jug jug jiyo

[@sujoy70]

Vikalp Aggarwal Par apne na subscribe kiya,na hi video share kiya :-(

[@mohammedalharbi3191]

Can I solve 2 equations (which contain complex number) and 2 unknowns?

[@sujoy70]

mohammed al harbi As far I know,complex equations can't be solved in this calc.

[@sujoy70]

Change your default mode to polar. By pressing SHIFT+MODE,Joystick down,press 3 CMPLX,then option 2.

[@youmound]

Hi, how complex ^ ? .If I write (complex mode) i^9 , calculator result : Math ERROR , why ?

[@sujoy70]

Complex numbers are not real numbers,so you can't do regular "to the power" operations with them. You can find i^2,i^3 but not more than that.

[@OO7ronaldo]

How to find the square and cube of a complete number like (2+2i)..😓😓

[@sujoy70]

+HarikrishNa Mohan NOt possible on calc.

[@sujoy70]

Do any complex operation,then press Shift+ 2 + 1 = .You will get the angle. Hope this satisfies your query.

[@pritish141]

How to solve two equation and two unknowns if equations are in complex form.

[@sujoy70]

Pritish Wanjari Not directly possible. Watch my other videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@colocho_]

i remember being able to input a negative square root and being able to get the answer along with the imaginary number symbol

[@manish5281]

can i sqrt a complex no on the calc? if yes, how?

[@sujoy70]

I don't it's possible.

[@mishra1212mohit]

No, it is POSSIBLE sir, infact i have posted a comment on this video to tell you to add a seperate video for that.. I have found a simple algorithm for our fx 991es to find the sqrt of a complex number. Though its not a direct approach but still you can get perfect answer in merely 2-3 steps.

[@janakinadhy2171]

Mohit Sims Mishra Could you please share the approach to find the square root of a complex number using a calculator?

[@janakinadhy2171]

Mohit Sims Mishra Never mind, I got it. For others: convert them into polar form and then do product and the square root.

[@MrDoz01]

dude , ur tutorials are very good...but ....u gotta change how u write r ...it looks like pi lol

[@omemester6985]

i is not the imaginary part, the number multiplied by i is the imaginary part. For example: z=5-i ( -1 is the imaginary part and 5 is the real part). Another example: z=-6+4i (4 is the imaginary part and -6 is the real part)

[@arunabhsarma7532]

how to solve equation in two variables with complex coefficients

[@sujoy70]

Arunabh Sarma for example?

[@arunabhsarma7532]

(3+2i)a+(4+7i)b=3+7i (6+7i)a+(5+4i)b=4+6i

[@sujoy70]

Arunabh Sarma It can't be solved on this calc.

[@kamran2hadi]

I want to solve the equation 2x+3y+8z=0 3x+5y-6z=0 8x+5y+9z=0 find the value of x,y &z It gives the valve if equal to is not equal to zero example: 2x+3y+8z=3 3x+5y-6z=4 8x+5y+9z=5

[@julpari7096]

I want to perform complex number calculation and want to store the imaginary number in A,B ,C etc register. Is it possible Using fx-991ES plus If yes How?? thanks in advance

[@sujoy70]

jul pari Yes,you can do it. To know how,do watch my this video- kzbin.info/www/bejne/a4LWlYd7pKelf9E

[@sujoy70]

jul pari Watch my other calculator videos here- goo.gl/uiTDQS and give your valuable comments. Subscribe to my KZbin channel so that when I upload a new video,you get notified. If you like any of my videos,I'd request you to please like & share it. Because sharing is caring :-)

[@julpari7096]

I just want to store only imaginary part of complex number

[@sujoy70]

Storing separately isn't possible.

[@julpari7096]

Is there any Calculator model which can do that??

[@2011jdp]

Anyone else notice his "r" looks like pi?

[@sujoy70]

No,you can only solve 3equations with 3 real variables,but not with complex variables.

[@haziqfaisal3660]

Where's the conjugate

[@MrAlek5andar]

One suggestion, the definition of the “number” i, is NOT i=√(-1) ! i=√(-1) is false iexp2=(-1) is true here's the proof 1=√1=√(((-1)*(-1)))=√((-1))*√((-1))=i*i=-1 function √ is not the same in complex and real numbers

[@sujoy70]

I don’t think so!

[@sujoy70]

No friend,I'm afraid that you cannot solve system of homogeneous linear equations on this calculator. By the by,you can solve algebraic or transcendental equations easily on this calculator. See my video on Newton Raphson Method on my channel.

[@sidhath98]

Dude!!! Anybody who wants to use a calculator for solving complex numbers already knows what they are. We don't need an explanation on complex numbers.

[@ramoda13]

good job i^2=-1 and i^3=-i but i^4 = MATH ERROR ?!!!!!!!!!!!!!!!!!!!!!!!!!!!

[@sujoy70]

Ramo Ben But i x i x i x i = 1. :-)

[@ramoda13]

Sujoy Krishna Das Thank you once again , In mean the calculator can't compute i^n with (n>3).

[@radhakrishnannair7102]

Just go to ur content😡😡😡

[@ravinachaudhari5109]

thank you

[@VIBRANTVISION8]

Sir how to use theta symbol to solve basic formula problems like sin^2 theta + cos^2 theta=1 plzz plzzzz plzzzzzzz I have subscribed your channel plz help me