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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.

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.