A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 4 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 )
anonymous
 4 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

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0mod(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 xaxis 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)*(42i)/(42i) = 3(42i)/(20) = 3(2i)/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
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.