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FOR ANY TWO COMPLEX NUMBERS m AND n PROVE THAT arg( mn ) = arg(m)+arg(n)
Take the complex numbers as z1 and z2 .
We have z1z2=r1eiq1. r2eiq2
=r1r2ei(q1+q2)
=(r1r2)(cos(q1+q2)+isin(q1+q2))
Arg(z1z2)= q1+q2=argz1+argz2
Hence Proved.
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