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Function riding on another function 
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#1
Jan2913, 12:14 AM

P: 3

How do I write sin(x) where the xaxis 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 xaxis 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. 


#2
Jan2913, 01:11 AM

P: 4,573

Hey preposterous.
One example like the diagram in your post would be in polar coordinates: r = 1 + 0.5*cos(theta) where in cartesian coordinates you use the relationship: r^2 = x^2 + y^2 and tan(theta) = y/x 


#3
Jan2913, 04:18 AM

PF Gold
P: 330

Why not
0.1 * sin(sqrt(10^2  x^2)) 


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