Complex Numbers (Cube Roots of 1, unity) : ExamSolutions Maths Video Tutorials

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Tutorial on complex numbers and the cube roots of 1.

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How do we know that cos 2pi over 3 is minus half

oyelajoshua

awesome explanation as always... thank you very much... does anyone know in what context do we use this in real life? what does the z =^1/3 means ?

AkhiDeia

Thank you so so much, I was looking through my textbook around 10 times not understanding this, but now I think, wow, it was that easy

Ihatenicknames

I finally understand where 2k*Pi is coming from. Thank you!

mmamouri

You are better than any textbook...and I have looked at many!

Elkycreates

So how will you know how many k values you should try? So for cube roots, k can be 0, 1, 2?

anniemoses

Great Math vid, beautifully explained.

ivornworrell

Very good.. thanx. This is essential to find the roots of the cubic polynomial (ie: Cardano-DelFerro Equation)

Fisix_org

Appreciation post- thank you very much for taking time and effort to help out us high school people! You deserve the best :) You're a great teacher and are very thorough with your explanation!

shootingstar

omg oh yeah this is what ineed in my life tahnk you so much for this video about complex number like holy cow it would be so good if u sent me 5$ on pay pal tho Pwease wink wink

StressReliefPodcasts

In this simplest case I suppose z*3-1 =(z-1)(z*2 +z +1) and factorize, giving the same results,

johnbingham

u are better than my college math teacher...thank u soo much...appreciate it

samoyha

Thank you so much for making it clear that k=2 can be done, but it will take us outside the interval for Arg(Z).

katiebell

awsm teaching... got exactly what i looked for... thnx sir !!!

ankitsinha

isn't the cubed root of 1 just 1? lol i'm confused

alfoul

Hello, just a question plz:As I understand it, the number 1 raised to ANY power is still 1, because 1 is the multiplicative identity, so how can it be possible that the number 1 has MORE THAN one root?Thank you.

ivornworrell

I hate how my FP teacher is a potato and cant teach AT ALL, just throwing notes at us and saying "do work". I'm gonna be so screwed for my further maths A2.

MrMartin

If you don't know what cos(2pi/3) and sin(2pi/3) are, what do you do

spitalhelles

Absolutely one of the best teachers ever. Thank you so much!

MusanGreen

maybe show the complex number powered to higher indices like 5?

pratiksapkota

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