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#1 2014-03-15 06:27:11

gourish
Member
Registered: 2013-05-28
Posts: 153

proof of arg(z)=arg(z1)+arg(z2)+.....+arg(zn) if z=z1z2z3......zn

i just accepted it as the truth but now i am curious... how did we get that rule i just need a simple proof...


"The man was just too bored so he invented maths for fun"
-some wise guy

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#2 2014-03-15 06:35:31

Bob
Administrator
Registered: 2010-06-20
Posts: 10,621

Re: proof of arg(z)=arg(z1)+arg(z2)+.....+arg(zn) if z=z1z2z3......zn

You can get there using the compound angle formulas.  Have a look at

http://en.wikipedia.org/wiki/Complex_nu … d_division

Bob


Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob smile

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