Undergrad Nearly constant 0 result from a trig function

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The discussion revolves around using a trigonometric function to interpolate a straight line in Matlab, specifically with the expression fplot(@(x)(.0000001*cos(x*2*pi)+10), [0 1]). Participants explore the concept of a "flat sine function" and its implications, noting that the function exhibits a very small amplitude, appearing nearly flat within the interval from 0 to 1. The conversation touches on the potential applications of this function, including its use for fractional counting or representing standing waves within a normalized range. Ultimately, the original poster's question about the function's utility is resolved, confirming its relevance for plotting curves in a specified domain. The discussion highlights the intersection of trigonometric functions and practical applications in mathematical modeling.
homerwho
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TL;DR
I was fiddling with the amplitude and frequency to find an approximately flat sine function
Interpolating a straight line with a trigonometric function.

In Matlab I ended up with this expression. fplot(@(x)(.0000001*cos(x*2*pi)+10), [0 1])
Would anyone like to discuss what this could be used in?
 

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Sorry, what is a "flat sine function"?
 
berkeman said:
Sorry, what is a "flat sine function"?
the attached image is hard to read but on the interval 0..1 the function lies with in a very very small amplitude. "nearly flat"

[Edit] I tend to view equations as shapes. Sorry about the "flat" wording
 
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A different plot showing sine vs cosine with a near zero amplitude and normalized 0..1. Could this be used to count from 0 to 1 fractionally?
 

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You just added a constant and a sine function with a small amplitude. Where is the point?
homerwho said:
Could this be used to count from 0 to 1 fractionally?
I'm not sure what you mean by that.
 
I needed to plot a curve and needed to normalize 0..1. My question has been answered, Thank you. I was thinking of application to standing wave on a 0..1 (domain or range)
 
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