Understanding and Using DeMoivre's Theorem

[@Beewanjiru]

I've realised this is actually so easy. Thanks!

[@shudidesai]

I had to play this at 1.5x speed ;)

[@toniwysocki2806]

Great overview on operations with complex numbers....your explanations were clear and easy to follow. Thank you!

[@bernabeperez5248]

thank god we can speed this video up, great lecture!

[@ingp3263]

the best way for revising before tests ! thank you for saving my life

[@AstroKedde]

Awesome video. Helped a lot to understand the lectures i missed this semester!

[@MrBledi]

one of the best internet 28 mintues

[@Chriscx]

Well done. I do however, Wish you had used numbers that would work with the special triangles. instead of using calculator

[@kevinramkissoon5930]

excellent work!!

[@qritonxavier5747]

Well done. Thank you.

[@akshaythakur262]

Thnxx alot sir..........:) FROM Mumbai university Student INDIA

[@gaaldaniel9360]

Thanks for uploading. Btw, funny handwriting in paint :D :D

[@aliabdu6322]

Thank you for your help

[@1000jesusale]

excelente video thank you very much from mexico.

[@nichharp]

Thanks, Really well explained

[@PhalguniRathodAmbi-Idiot]

very very helpful..good job..nicely explained... (y)

[@sharonbabalola5421]

Thanks so much

[@JoPiDo]

thanks! that was very helpfull!

[@risack8640]

Very useful

[@driaandewitt4566]

Wish this guy was my mathematics lecture!

[@Taldisuiskai]

very helpful)

[@kaah9407]

very goog!!! thankyou!!!

[@Andre40492]

There's a mistake on the Division slide. The thetas don't match the equation.

[@tejolson92]

I found De Moivre's formula on my own when I was playing with the rotation matrix. Particularly the part on the wikipedia website under "Formulas for cosine and sine individually." I found another formula just like that one but for tangent. It requires modulus in order to work. If I remove modulus, then I will have to make two different formulas. Is using modulus in a complicated summation formula legal? Btw, I think this stuff has something to do with the probability in quantum physics.

[@SummerLangereis]

"put that in your calculator'' Bummer we're not allowed to at uni

[@TextbookTactics]

lol, bummer!

[@shannbartle5200]

Exactly. How do we do this without the use of a calculator?

[@martinnolin6439]

Shann Bartle x / (1 + (x^2 / (2 * 3 - x^2 + (2 * 3 x^2/(4 * 5 - x^2 + (4 * 5 x^2 / (6 * 7 - x^2 +...))))))) An infinite series that tends toward sin (x). And do you want cos (x), you only take: "sin(pi/2 - x)". "tan (x)" is just "sin (x) / cos (x)".

[@joshgooch4471]

Shann Bartle I don't see any parts where a calculator is absolutely necessary as long as you know your basic powers and have good knowledge of the unit circle

[@Peter_1986]

Shann Bartle You should always be able to put an answer in a satisfactory form without a calculator. Personally I think numerical values should be omitted from exams, because they have nothing to do with your actual understanding of the question. I find it much more fun when they ask for an answer in terms of a bunch of variables instead, and this saves time as well, since you don't need to calculate a lot of stupid numbers.

[@jyinologylim6485]

thank you so much