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Calculus/Sinusoidal function

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Question
How do u find an equation for a sinusoidal function that has been graphed

Answer
The function has an average.  Let this be where y is 0.

The function needs to start at 0 to be a true sin() function,
so subtract the first place that the function is 0 from the graph.

After converting the function so that the average is 0,
know that that as it goes up and down and then back to 0 again,
the distance should be where x is 2π.

So if the first place that the function is 0 is at 2
and the period is 5, it would be sinusoidal.
The equation would be sin(2π(x-2)/5).

Calculus

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