SOLUTION: Proved that (a)arg(z1z2)=arg(z1)+arg(z2) and, (b)arg(z1/z2) =arg(z1)-arg(z2).

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Proved that (a)arg(z1z2)=arg(z1)+arg(z2) and, (b)arg(z1/z2) =arg(z1)-arg(z2).       Log On


   

Question 1144066: Proved that (a)arg(z1z2)=arg(z1)+arg(z2) and, (b)arg(z1/z2) =arg(z1)-arg(z2).
Answer by ikleyn(52814) About Me  (Show Source):
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highlight%28cross%28Proved%29%29 Prove that (a) arg(z1*z2) = arg(z1) + arg(z2) and (b) arg(z1/z2) = arg(z1) - arg(z2).
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See the lesson
    - Multiplication and division of complex numbers in complex plane
in this site and find the proof there.

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On complex numbers, see introductory lessons
    - Complex numbers and arithmetical operations on them
    - Complex plane
    - Addition and subtraction of complex numbers in complex plane
    - Multiplication and division of complex numbers in complex plane

    - Solved problems on taking roots of complex numbers
    - Solved problems on arithmetic operations on complex numbers
    - Solved problem on taking square root of complex number
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Complex numbers".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.