Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

ranyai12

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 )

  • one year ago
  • one year ago

  • This Question is Closed
  1. hellow
    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

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

    Thank you!!

    • one year ago
    • Attachments:

See more questions >>>

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.