Complex analysis and complex plane

  • Thread starter tsopatsopa
  • Start date
  • #1

Homework Statement


Let z= x + yi be a complex number.
and f(z) = u + vi a complex function.
As:
u = sinx[itex]\ast[/itex]coshy
v= cosx[itex]\ast[/itex]sinhy

And if z has a trajectory shown in the attached image.
What would be the trajectory of the point (u,v) ?
 

Attachments

  • photo_math.JPG
    photo_math.JPG
    19.2 KB · Views: 362

Answers and Replies

  • #2
I like Serena
Homework Helper
6,577
176
Welcome to PF, tsopatsopa! :smile:

Pick a couple of points on the trajectory and plug the numbers into your function?
 

Related Threads on Complex analysis and complex plane

  • Last Post
Replies
8
Views
3K
  • Last Post
Replies
2
Views
778
Replies
8
Views
630
  • Last Post
Replies
24
Views
2K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
5
Views
710
  • Last Post
Replies
6
Views
7K
  • Last Post
Replies
4
Views
526
Replies
10
Views
2K
Replies
4
Views
2K
Top