SOLUTION: Please help me with this question, Z1=e^iπ/4 and Z2=e^-iπ/3. Find the arg/z/ of z1*z2 and z1/z2.

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Please help me with this question, Z1=e^iπ/4 and Z2=e^-iπ/3. Find the arg/z/ of z1*z2 and z1/z2.      Log On


   

Question 1142193: Please help me with this question, Z1=e^iπ/4 and Z2=e^-iπ/3. Find the arg/z/ of z1*z2 and z1/z2.
Answer by ikleyn(52765) About Me  (Show Source):
You can put this solution on YOUR website!
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arg(z1*z2) = arg(z1) + arg(z2) = pi%2F4 - pi%2F3 = 3pi%2F12 - 4pi%2F12 = -pi%2F12.    ANSWER



arg(z1/z2) = arg%28z1%29 - arg%28z2%29 = pi%2F4 - %28-pi%2F3%29 = 3pi%2F12 + 4pi%2F12 = 7pi%2F12.    ANSWER


Answered and solved.

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For introductory lessons on complex numbers see
    - 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
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.