Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Function riding on another function

  1. Jan 29, 2013 #1
    How do I write sin(x) where the x-axis is a function itself. For example, I want to write sin(x) along a half circle. I need to "wrap" the function, similar to "De Broglie wavelength" in image below.

    More specifically, I want to write f1 = 0.1*sin(x) the where the x-axis is f2 = sqrt(10^2 - x^2).

    I know that this generally will not pass the vertical line test. But for my application it will becuase the sin(x) has small amplitude compared to the circle radius.
     

    Attached Files:

  2. jcsd
  3. Jan 29, 2013 #2

    chiro

    User Avatar
    Science Advisor

    Hey preposterous.

    One example like the diagram in your post would be in polar co-ordinates:

    r = 1 + 0.5*cos(theta)

    where in cartesian co-ordinates you use the relationship:

    r^2 = x^2 + y^2 and

    tan(theta) = y/x
     
  4. Jan 29, 2013 #3

    rollingstein

    User Avatar
    Gold Member

    Why not

    0.1 * sin(sqrt(10^2 - x^2))
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Function riding on another function
  1. Function ? (Replies: 30)

Loading...