"What's the argument of a complex number? It's the angle that it makes with the positive real axis"... Already done a better job of explaining that than my teacher. Thank you!
+Sharukh Mastan its been 2 years since i completed my engineering and finally i understood argument of complex number.... lol.... but i m not ashamed, i m happy that i no longer make mistakes while solving it.
Thank you so muchhh!!! Never understood what my teacher taught and I've always hated complex numbers. Im sitting for my a levels tomorrow and this video helped a LOT
You also gave us other important examples which are very critical to the understanding of finding an argument. I appericiate what you did, thanks a lot!!!! :-)
I watched about 50 videos before this (in a week). Thank you, hoping to give you the credit for this 7 mark Q I am currently working on (which demands the mod, arg, prin arg, and polar form or a quotient of 2 complex numbers). Thank YOU!!
+ MathMathsMathematics For the example at 4:55, I am confused as to why you do not use arctan(3/-3). Isn't the real component in the negative direction? Or are you only paying attention to the absolute value of the distance of each leg of the triangle?
He keeps on saying you have to be careful. There isn't anything to worry here. I do not get the point why in tan(y/x), the actual values are not substituted and instead only positive values are. For example, in one of the problems here, theta = tan^(-1)(-3/3) then it is theta =-45degrees OR pi/4. Tan is negative in second quadrant. So, in anticlockwise direction, we have to add pi/2 to pi/4 OR pi - pi/4 = 3pi/4.
thank you wholeheartedly, my 'elite university' tries to filter out students by explaining material badly (objectively speaking) and demanding that stundent then should understand and be able to use the theorie. But one can also explain it well and understandable
Question. In the root 3- i example, you kept the negative sign and didn't subtract it with 2 pi to get the positive angle. But in the last example, you did. Why is that?
okay, I got that in most of the cases we are taking the angle in between 0 an 2pi. What if I want to take the angle in between -pi and pi? What should I take into consideration? Thanks for the video btw
The arc tan of root 3 = pi/3 , in radians that is equivalent to 60 degrees, and the tan inverse of root 3 is 60 indeed, you need a calculator for that part
Yes always radians. Although your answer will be correct if you show your answer in degrees or radians. When you're dealing with arguments that go beyond 360 degrees, i.e 3 spins anti-clockwise around the origin, you may wish to convert to polar form. The general form is R*exp*.^1i*theta where 1i is your complex J and R is your magnitude or modulus which you found by square rooting your complex expression.
"What's the argument of a complex number? It's the angle that it makes with the positive real axis"... Already done a better job of explaining that than my teacher. Thank you!
Not just the positive real axis....
The argument if a complex number is the angle made with the real axis being +ve x or -ve x
I'm in my 4th year of engineering. I'm ashamed to say this helped me a lot. Nice explanation mate.
+Sharukh Mastan bro im 3rd year even im ashamed too. i had a lot of confusion of this angles on 2nd and 3rd quadrant. now i understand it all
You should be ashamed
+Sharukh Mastan im in second year and yepp feel you!
+Sharukh Mastan its been 2 years since i completed my engineering and finally i understood argument of complex number.... lol.... but i m not ashamed, i m happy that i no longer make mistakes while solving it.
I'm in the 12th and I don't even plan on doing engineering lols
this deserved a like, my teacher and book did not explain this
Very True
nice work i am going for classes but could understand this only because of you .
"You can now find the arguments of z, without discussion and without argument" Nice pun aha. Great video though!
Thank you so muchhh!!! Never understood what my teacher taught and I've always hated complex numbers. Im sitting for my a levels tomorrow and this video helped a LOT
thank you very much u save me like 2 hrs lookin 4 textbook 5 hr understanding it...
You also gave us other important examples which are very critical to the understanding of finding an argument. I appericiate what you did, thanks a lot!!!! :-)
What an immaculate content! Cheers mate with this bo'le of wa'er!
thank you so much for explaining what my teacher couldnt in an hour with a 6 minute video
I watched about 50 videos before this (in a week). Thank you, hoping to give you the credit for this 7 mark Q I am currently working on (which demands the mod, arg, prin arg, and polar form or a quotient of 2 complex numbers). Thank YOU!!
+ MathMathsMathematics
For the example at 4:55, I am confused as to why you do not use arctan(3/-3). Isn't the real component in the negative direction? Or are you only paying attention to the absolute value of the distance of each leg of the triangle?
He keeps on saying you have to be careful. There isn't anything to worry here. I do not get the point why in tan(y/x), the actual values are not substituted and instead only positive values are. For example, in one of the problems here, theta = tan^(-1)(-3/3) then it is theta =-45degrees OR pi/4. Tan is negative in second quadrant. So, in anticlockwise direction, we have to add pi/2 to pi/4 OR pi - pi/4 = 3pi/4.
Imagine studying without such great videos
You’re an absolute legend
sooooo much better than university lecturers
Sad but very true. Great video
The very first example is exactly what I was looking for, thanks!
extremely helpful, last year of high school, advanced mathematics
hahaha o nertile sapo te gjeta n nje koment n youtube (ronaldo)
hiii
+Nertila Ismailaj na ka zen halli :p
Please make one more video and bring more questions for argument for better understanding ❤❤
ChatGPT recommended this video!!!
guys always report the argument in the interval -π to π
yo my nigguh this video was so helpful thank you my nigguh bless up
Thank you soo much, the only video that helped!
I'm glad that you upload this clip........
Thank you so much...
Helped me alot. I couldnt understand in class
thank you wholeheartedly, my 'elite university' tries to filter out students by explaining material badly (objectively speaking) and demanding that stundent then should understand and be able to use the theorie. But one can also explain it well and understandable
Thx, you spare me like 3 ou 4 hours of research xD
best video on this i could find! Really simple, thanks.
Question. In the root 3- i example, you kept the negative sign and didn't subtract it with 2 pi to get the positive angle. But in the last example, you did. Why is that?
Amazing thanks. Its hard to find good complex analysis videos.
at 2:07 he pulls pi/3 out of nowhere and forgets to explain it can someone help me?
thank you, your explanations are very clear 👍🏻
4:46 why is it 3/3 and not 3/-3?
Thinking that maybe it's only shown in the arg(z) part? I'm pretty confused too sorry
@@shereencher_ree_n103 apparently only absolutely value goes into there if it's arctan
Because we have already considered the -ve sign by placing it in the 2nd quadrant
Length can't be negative. So we have to take positive number
This is really helpful and easy to understand...👍
Thanku sir this is truly understanding 😘😘
very nice thank you. For completeness give one example which fall under 3rd quadarant
Nice explanation .Really helpful for me.
okay, I got that in most of the cases we are taking the angle in between 0 an 2pi. What if I want to take the angle in between -pi and pi? What should I take into consideration? Thanks for the video btw
that is exactly what is the general rule.
always write argument in -pi to pi
Am I the only one who loves his accent 🥺🥺❤️
Dear,I want to ask when a given argument how to find z.
Ex. arg(z)=π/4 ,z is not equal to zero.
1.imag(z²)=Re(z²)
2.Imag(z²)=0
3. Re(z²)=0
Amazing explanation, Thanks
generally the angle theta is arctan(y/x)
The arc tan of root 3 = pi/3 , in radians that is equivalent to 60 degrees, and the tan inverse of root 3 is 60 indeed, you need a calculator for that part
Great explanation!
thanks mannnnn!!!! It helped me a lot!!!!
for arg(-3+3i) the value of theta should be -pi/4 (that is -45) but you have done it without considering sign of real part.
Yep agreed
nice explanation it was very helpful
Clearly explained! Thanks!
so what would be the argument for the θ=-π/4 ?
you made it clear . thank you
thanks, this helped SO much
This is really amazing, thank you :)
thank you, sir!
Great job
y didn't he used tan-inverse of ( "-ive 3/3 ) at 4:45?
tysm u helped so much
loved it sir... ♥
i love that british accent :D
That is really great thank dude !
how do you but the answer in the form of r
wait..the last question was x=-3 and y is 3, so how come its tan(3/3) and not tan(3/-3)???
Celina Lim
Because this isn't polar form
We are looking at the absolute values. You cannot get a negative length of a triangle.
in modulus, -3 becomes 3
Derren Brown???
liked the part at 3:34 , i was having big problems recalling this.
how to find argument if two number is in ratio?
no log examples?
What is an argument of 5i?
for the second example, why can't it just be 11pi/6 instead of -pi/6??????
on example 3 i tried it and got 45 not 3/4pi... how did that happen?
Your answer must have come in degrees and not in radians, make sure to check!
Thanks man wonderful
Thank you sooooo much...helped alotttt! :D
Hi
Pls comment pls
hi
Hi
very helpful video
thanks a lot, really helped.
thank u Sir it helped me
what arg(3)?? and arg(2)
Nurul Nurfatiah
following the same method it would be 0 as these complex numbers don't have an imaginary value to begin with
what is the argument of 0 zero....
We've only started to cover this in my course so I could be wrong but our lecturer told us z isn't defined if it lies in the origin (0, 0)
God bless you for this!
thanks! very helpful!
So helpful!!
Legend
Another pitfall: if z=3i, then arctan(y/x)=arctan(3/0) which is undefined.
Thx alot..u sir.....is a monsta
find argument of 1+i/1-root3 please solve
thank you ☺
Thank you.
are we always dealing with radians here?
Yes always radians. Although your answer will be correct if you show your answer in degrees or radians. When you're dealing with arguments that go beyond 360 degrees, i.e 3 spins anti-clockwise around the origin, you may wish to convert to polar form. The general form is R*exp*.^1i*theta where 1i is your complex J and R is your magnitude or modulus which you found by square rooting your complex expression.
111sonny111 exp is your e (2.81)
Thanks a lot.
Thank you
Thank you very much :D
if i can give you double thumbs up...i will..
gay
Thank you ..
Thanks bro
Thanks!
thanku sir 😍
Thank you!!!
i'm just watchin dis to learn machine learning
-3×/3_ ER ACTION
you ultimately help me sir
thanks! it helped :)
thank you
thanks
1+5i argument