Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ranyai12

  • 2 years ago

Can someone please help me solve this problem!! Find | z| and Arg( z) for z=3/(4+2i) |z|= Arg(z)= (Recall −pi< Arg( z)<=pi )

  • This Question is Closed
  1. hellow
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    mod(z) or |z| is the distance of the line joining the (0,0) to z when z is drawn in the complex plane. Arg(z) is the angle from the positive x-axis to the ray from (0,0) to z in the complex plane. (Arg(z) is the principle angle, so it must be in the range you specified.) So z=3/(4+2i) = 3/(4+2i)*(4-2i)/(4-2i) = 3(4-2i)/(20) = 3(2-i)/10 = 3/5 - i3/10 Thus |z|= sqrt[(3/5)^2 + (-3/10)^2]. (You can simplify.) and Arg(z) =arctan[(-3/10)/(3/5)] = -pi/4

  2. ranyai12
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thank you!!

  3. Not the answer you are looking for?
    Search for more explanations.

    Search OpenStudy
    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.