Complex Numbers & De Moivre's Theorem [IB Math AA HL]

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This video covers Complex Numbers & De Moivre's Theorem. Part of the IB Mathematics Analysis & Approaches HL course in Topic 1, Number & Algebra.
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[@mariahalqubtiyah5269]

WHATS THE ANSWER FOR THE LAST QUESTION OMG PLS DONT LEAVE ME HANGING

[@Ms.Jasmine]

2cis(pi/6), 2cis(5pi/6), 2cis(9pi/6) after a year...

[@gindullin]

@@Ms.Jasmine 2cis(pi/6+(2pi*n)/3)

[@richardreasoner728]

@@Ms.Jasmine no cap, tysm

[@Ms.Jasmine]

@@richardreasoner728 right before the exam

[@zorosinu8496]

@@Ms.Jasmine so you basically took n as n = 0, 1, 2? why tho?

[@vedangjain5700]

Thank you soo much. Much Helpful!!!!

[@chicken.karahi]

Sir, I am slightly confused (1:50). Aren't the modulus argument form and polar form the same thing, with Euler's form being the other one (re^iθ)?

[@kafka4048]

For the last question, the answers may be: 2cis(pi/6), 2cis(5pi/6), 2cis(9pi/6)?

[@davidcalalang6882]

yup, and you keep going and going (with increasing integer values of n). usually questions give you a domain/range of pi values though so you'll know when to stop

[@MM-wv4ez]

Can't you simplify the last answer 2cis(9pi/6) and make it 2cis(3pi/2)?

[@kovboj5397]

@@MM-wv4ez Yes and that's probably a good idea, but leaving it as 2cis(9pi/6) makes it clearer to your grader that you're using the 2*pi*n series over and over again.

[@vangcho7593]

Beautiful letters

[@evonnepark8194]

can someone explain why we have to add ‘2 pi n’ to the pi/2 in the last question? thank you so much!

[@mikerizzoxo2544]

Bc there can be multiple solutions along the unit circle ie. U can end up at the same spot or still hold a 8i because it occurs at 90 degrees and every 360 degrees after it and in radians 360 is 2pi so the angle this solution can occur at is like 90, 90+360, 90+360(2),...

[@dryice4815]

@@mikerizzoxo2544 do you have a list for this which I can remember?

[@SSGMarkus]

Thanks.