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A sine wave is a simple vertical line in the frequency domain because the horizontal axis of the frequency domain is frequency, and there is only one frequency, i.e. no harmonics, in a pure sine wave.

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โˆ™ 2010-01-30 18:53:53
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Q: Why a sine wave is a simple vertical line in a frequency domain?
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Related questions

What is domain and domain range?

If you look at it on a graph, the domain is any value on the x-axis (horizontal line), while the range is any value on the y-axis (vertical line).


If a domain repeatable in function then this is not afuntion and if the range repeat then this is a function why?

Because, if the Domain(x-values) repeats, when graphed on a coordinate plane, there will be multiple dots in a vertical line. If you were to conduct the Vertical Line Test, and there are two points in one straight vertical line, this would not be a function. If the Range(y-values) repeats, this would be a function, because if the Domain is different, then there will be no points plotted in the same line.


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A vertical test line is useful because, by definition, a function has one and only one result value for each input value. If you can find a vertical line that intersects the curve of the line, then it is not a function. A simple example is a circle.


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