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Rotation of axes

  1. Sep 7, 2014 #1
    1. The problem statement, all variables and given/known data

    THe x and y axes have been rotated about the origin through a 45 degree angle
    to produce the X and Y axes.. Thus, a given point P (x,y) has coordinates in the first coordinate system and (X,Y) in the new coordinate system

    The orignal equation is y=10sech(x).
    What is the new equation in the new coordinate system?
    2. Relevant equations

    3. The attempt at a solution
    x=  X cos(theta) - Y sin(theta)  y= X sin(theta)-  Y cos (theta)

    These are for individual points but not for whole equations.
  2. jcsd
  3. Sep 7, 2014 #2


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    Education Advisor
    Gold Member

    Have you drawn the picture?
  4. Sep 7, 2014 #3


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    Science Advisor

    And you are told that Y= sech(X) so those equations become
    x= X cos(45)- sech(X)sin(45), y= X sin(45)- sech(X) cos (45).

    Eliminate X from those two equations.
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