Partick. Seriously. The only reason I am passing calculus is because of these videos. Every subject I study, you have a video for. I cant thank you enough. My future college graduate self says thank you!!
Honestly i wish u were my teacher u make so much easier then it has to be everytime i learn a lesson in class and have no idea i always come to ur channel and pray that u have a video on it... and u always do thanks a lot man!
Thank you so much for this! My percale teacher has no idea how to teach us anything, and this video is really the only reason I did really well on my exam today! Keep teaching and making these, your helping us all a whole lot!
Thanks for the video! My college trig class introduced a new constant... which was just pointless and confusing... this simplified it up a lot, and i still get the same answer that are in the back of the book. Hopefully this helps on my Trig Final tomorrow..
This is good but you missed one important part. For a general complex number a + i b set r = sqrt(a^2 + b^2) and θ = atan(b/a). Then proceed as described.
Do you have any examples where you do these types of question in exponential form rather than polar? I know it's practically the same thing but for some reason I have a hard time with it.
A good lesson on the nth root. No one seems to show how to check your answers by working back to the original equation. Could you help on how this is done? A video would be great
+rawƙing ąnee You subtract 1 from the value of n. Then the values of k will be from 0 until (n-1) Just like in the video, the value of n is 2, so (2-1) is equal to 1, and the values of k were (0, 1)
the root you are taking is n. n-1 is your k values. so if you are doing cube root, which is to the power of 3, your n would be 3. your k values would be 0,1,2.
Do you have videos on complex trig functions , powers ,logs .,integration of complex numbers and the residue theorem ? i'v been searching every where for your videos on these topics !! please guide me if u have them anywhere..thanks a lot Best regards.
When you plug in values for "k" in your original polar equation, for 0 you get no greater angle than what you started with, but with 1 and 2 you add 360 and 720 degrees (360*2) to your original angle. With the greater angles, you are still dividing by 2, so your total angle increases each time (by 180 degrees). Note: if you were to graph the two roots he solved for in the complex plane (in the form a + bi) they would be 180 degrees apart (2 roots, 180 degrees apart; 4 roots, 90 degrees apart, etc).
cos225 actually is cos(180+45), in the unit circle we find 180 degrees then add another 45 degrees, then we just get minus sign, because in the third quarter cos takes negative value.
Does anyone knows where to find the PROOF of this? Ive been looking around on youtube but havent found it. The proof of how to find the roots of a complex Numbers that is
May I request? When you solve a problem can you please show the whole solution after you finish solving each problem. So the viewers will just take one screenshot for a problem. I hope you will notice my request. Thank you.
YES THE VIDEOS FROM 1966 ARE HELPING!!!
God bless they finally stoppeed showing me this abomination of an education course advertisment ...
Lol😂
Literally
My university lecturer couldn't make me understand this in 1.5 hours, yet you've managed it in less than 10 minutes.
I think it is a high school topic ,ain't it?
@@devansh8737 yes
mine too
I've literally been using these videos since pre algebra. Bless you Patrick!
Partick. Seriously. The only reason I am passing calculus is because of these videos. Every subject I study, you have a video for. I cant thank you enough. My future college graduate self says thank you!!
Are you graduated?
@@MrSir-fd8ns This
life update needed
@@harryemataj666 yepp
i'm watching this in 2019 and I have fallen in love with the series already
thank you very much
3 hours to midterm...one word..brilliant!
@Visceral101 i have roots of unity videos in the trigonometry play list. unity is 1
You made this more of an easier concept to understand than my precalc teacher..
Thanks to this video I got a 100% in my trig exam which brought my grade to a 82% from a 75%. Thank you very much.
Honestly i wish u were my teacher u make so much easier then it has to be everytime i learn a lesson in class and have no idea i always come to ur channel and pray that u have a video on it... and u always do thanks a lot man!
Thank you so much for this! My percale teacher has no idea how to teach us anything, and this video is really the only reason I did really well on my exam today! Keep teaching and making these, your helping us all a whole lot!
I personally don't like tutorial as you don't grasp things as well without struggling with them first, but you are lifesaver when exams are near
You just made me understand what has been troubling me in one short video
Thank you
1/√2 = √2/2
Just take 1/√2 and multiply top and bottom by √2 (or 'rationalise' it) and see what pops out.
@imviewed it does
I have an exam in 10hours and you just saved me from a panic attack
You really don't know how much you helped me with this video. thank you :)
Thanks for the video! My college trig class introduced a new constant... which was just pointless and confusing... this simplified it up a lot, and i still get the same answer that are in the back of the book. Hopefully this helps on my Trig Final tomorrow..
at 4:51 are we not supposed to divide first then do the addition so it would be 45+180?? patrickJMT
I knew this concepts in my class 11 and feels happy to know this already
Hey, Mr. Patrick you really are a good teacher. All your lectures are awesome. Thanks 0 raise to the power infinity times...
Thank you for going straight into what the K means
You're brilliant man! I adore how you make it easy!
YOU MAKE EVERYTHING SO SIMPLE! I LOVE YOU!
Wow!
Sir i wanna ask u something look at this
(1-i)⁸⁰, is there any way to solve this
How can i solve it?
Answer will be 2°40 that is
1.099*10°12
just to clarify for K if you had z^4 would the values of K be 0,1,2&3?? I'm just a bit confused about that. thanks
Which one is the principle root??
Please help me calculate this
Given that (√3-i) is a square root of the equation Z^9+16(1+i)z^3+a+ib=0
What is the value of a and b?
This is awesome! Thanks a lot for this video, really cleared up any doubts in my head about finding roots of complex numbers!!
you really helped me from my differential equations and I'm now on my advance math. Still, you help me a lot. thank you. 😀
Alexa Parilla University/college/school ?
Blue_magi from a university here in philippines
Alexa Parilla lucky you Iam taking this in grade 11
Oh ☺
bless urr soul bro, my linear algebra midterm is next weeek
This is good but you missed one important part. For a general complex number a + i b set
r = sqrt(a^2 + b^2) and θ = atan(b/a). Then proceed as described.
Do you have any examples where you do these types of question in exponential form rather than polar? I know it's practically the same thing but for some reason I have a hard time with it.
His pen is so smooth
A good lesson on the nth root. No one seems to show how to check your answers by working back to the original equation. Could you help on how this is done? A video would be great
how do we decide the value of k that is to be used in different cases?
+rawƙing ąnee You subtract 1 from the value of n. Then the values of k will be from 0 until (n-1)
Just like in the video, the value of n is 2, so (2-1) is equal to 1, and the values of k were (0, 1)
@@tswizzle0012 but what if n is not provided in the questions?
What if I’m given only a number. Like, find all the complex third root s of 27. How would I get an angle?
what if the cos and sin are in negative ? For example:
3cube root 4 ( -cos ((120 - 2pi k)/3) - i sin ((120-2 pi k)/3)
Is it the same ???
Why multiply by K?
Hello, how do you k=0,1Please help
the root you are taking is n. n-1 is your k values. so if you are doing cube root, which is to the power of 3, your n would be 3. your k values would be 0,1,2.
Do you have videos on complex trig functions , powers ,logs .,integration of complex numbers and the residue theorem ? i'v been searching every where for your videos on these topics !! please guide me if u have them anywhere..thanks a lot
Best regards.
Bruh this video is godsend
How to compute 2 roots of 4i?
I agree, complex numbers should be expressed in radians. I lost a mark because I used degrees on my exam :( .
you saved my life
how is cos of 45 root2/2???
I don't get it why does the angle change when K changes? I'm pretty confused here
When you plug in values for "k" in your original polar equation, for 0 you get no greater angle than what you started with, but with 1 and 2 you add 360 and 720 degrees (360*2) to your original angle. With the greater angles, you are still dividing by 2, so your total angle increases each time (by 180 degrees). Note: if you were to graph the two roots he solved for in the complex plane (in the form a + bi) they would be 180 degrees apart (2 roots, 180 degrees apart; 4 roots, 90 degrees apart, etc).
Hi @PatrickJMT,
I thought cos45 = 1/√2? @4min.
Please comment.
Hi...could u pls explain on how u determine tat cos 45° is square root 2 over 2??
cos225 actually is cos(180+45), in the unit circle we find 180 degrees then add another 45 degrees, then we just get minus sign, because in the third quarter cos takes negative value.
Thank you so much for this video! This has helped immensely!
How do use that graph to to get the coordinates in pie. Anyone pls
im confused between this and de moivre's theorem bnecause it tells us to times the theta with 'n'
Thank you for making this video 🙏
Thanks a lot bro. I solved d que. within a Min after seeing ur video. :-)
how to square root complex numbers if it doesnt start in the unit circle
ex: 2 - sqrt 5i?
This helped me a lot! Thanks!
why is the audio so quiet
im so confused, why is there a cosin and a sin????
looking at this after 10 years
🇮🇳
Thanks a lot bro for free videos.!
is this highschool or univesity/collage level of math in the states?
highschool
this is awesome ......4sqr-16 how calculate ,help me
thank you patrick great help
keep going
you helped me a ton thanks a billion ^.^
Tjfjcl
Does anyone knows where to find the PROOF of this? Ive been looking around on youtube but havent found it. The proof of how to find the roots of a complex Numbers that is
pls use radians, if ppl doing complex numbers they should be familiar with radians measure.
thanks for these videos!
I can smell the sharpie through the screen
Thank you so much man!
you are the mastre of math bro 😍
@patrickJMT Oh ya. Missed that. Thanks for the note!
thnx a lot ,but those subtitles are telling a different story hahaha i just replayed it to read the subtitles,
he rationalized the denominator
what if n was 4?
So to find the all the roots of a real number, just set theta to 0.
dude, what about power that is more than 2? Lets say, 4th root of -4, how will you do that?
Я хоть язык и не знаю, но по изображению понять можно.
You are awesome bro...
Thank you
Very nice video
May I request? When you solve a problem can you please show the whole solution after you finish solving each problem. So the viewers will just take one screenshot for a problem.
I hope you will notice my request. Thank you.
great man...keep it up!
Thank you!!
Thank you very much!!!
Thanks
thank you!
Thank you very much!!!!!!!!!
Bro is left handed😮
thank you :D
i dont understand n still
Then you find the roots of Z with k=0,1,2 and 3 :)
Z^6 +3iz^3 +10
@imviewed
1/√2 = 1/√2 * √2/√2 = √2/2
anyone that can take the square root of (2i+5) will win a prize. this is easy stuff in this video.
u r good! thanks a lot!
cos(45) and sin(45)= 1/root2
but root2/2
you could rationalize it
(1/SQRT(2)) x (SQRT(2)/SQRT(2))
gives,
SQRT(2)/2
GOAT
u are the best!
good
eyw reis