Using de Moivre's Theorem - Example (2) : ExamSolutions Maths Revision Tutorials

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Example question of using de Moivre's theorem

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This site has for me repeatedly brought clarity to things that are terrribly complicated . imo that is what great teaching is often about.

helenday
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Steps:
1. Draw the argand diagram to get some sense and to get arg(Z)
2. Look for mod(Z) and turn into euler's form
3. Apply De Moivre's

bostangpalaguna
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The video content is so excellent, congratulations

joemcmillian
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How do you calulate the arg(z) cuz I have another way to calculate it
Cos= 3½÷2
Sin=-1÷2 by that you know it is (pi÷6) and it is from the
(4th quarter) wich means the arg (z) law is
arg (z) = 2pi - theta
By that
arg (z) = 2pi - pi÷6 = 11pi÷6

-bismarck
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Is that important to rearrange the the theta

ahmadmhmd
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Could you also have the Arg(z) as 11/6pi?

JonBudinas
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Hey, is this a mistake or am I confused? I was wondering how you converted 256(cos2/3pi + isin2/3pi) to 256 (-1/2 + isqrt3/2)
should it not be that sqrt -sqrt3/2 is the real part and the 1/2 is the imaginary due to its position in the unit circle.

rudrakaushik
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Hi sir, shouldn't the arg be positive as the original value was negative and the congegate makes it negative so -(-) =+ ?

AkhiDeia
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just where did pi over 6 come from?..i dont get it on my calculator..plz help);

lorri
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yhan y ki value to -1 h to apne +1 kuew li h?

nimrakhan
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Hii sir (√3-i)^7 upon (I+1)^10 solve the example

sureshaadnaik