1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Complex Analysis - Finding the image through a mapping

  1. Mar 11, 2012 #1
    1. The problem statement, all variables and given/known data
    The point 1 + i is rotated anticlockwise through [itex]\frac{∏}{6}[/itex] about the origin. Find its image.


    3. The attempt at a solution

    The point 1 + i creates an angle of arctan(1/1) = ∏/4

    The rotation is by a further angle β = ∏/6.

    So the new point w in the w-plane from the mapping would be:

    w = r.exp(iθ + β)

    w = √2.exp(∏/4 + ∏/6)
    w = √2(cos 5∏/12 + i.sin 5∏/12)

    Is this correct?
     
  2. jcsd
  3. Mar 11, 2012 #2
    looks correct yes
     
  4. Mar 11, 2012 #3
    Thank you.
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Complex Analysis - Finding the image through a mapping
Loading...