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19 May 2012 12:10:54 IST

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235

complex no's

Engineering Entrance , JEE Main , JEE Advanced , Mathematics , Algebra

arg(z1/z2)=arg(z1)-arg(z2)+2npi i don't understand the utility of 2npi

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shantam saxena

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Joined: 31 Aug 2011

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2 Jun 2012 08:10:39 IST

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please solve this for me...

GOPAKUMAR

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Joined: 18 Mar 2010

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2 Jun 2012 09:34:24 IST

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PRINCIPAL ARGUMENT MUST BELONG TO (-pi , pi]

now z1/z2 is also complex number say ' w '

so arg(z1/z2) must also belong to (-pi , pi] but arg(z1)-arg(z2) is difference & can be any thing so to bring it within (-pi , pi] we use term 2npi with suitable n

ex:- arg(z1) = pi and arg(z2) = -pi/2 then arg(z1)-arg(z2) =3pi/2 which in not in domain so arg(z1/z2) =3pi/2 +2npi

for n= -1 we have arg(z1/z2) = -pi/2 which is PRINCIPAL ARGUMENT of the complex no ' w ' ................................. hope u got it..:D

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