Fourier transform of the sine function?

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The discussion focuses on finding the Fourier transform of the sine function sin(2πf0t) for a course project. It highlights that this sine function represents a single frequency, which results in a delta function in the frequency domain. The user expresses confusion regarding the delta function's role in this context. Understanding the delta function is crucial for interpreting the Fourier transform results accurately. The conversation emphasizes the relationship between time-domain sine functions and their frequency-domain representations.
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Homework Statement


I'm trying to get started on a project for a course, which is about Fourier transforms.
So I'm trying to find the Fourier transform of sin(2\pif0t) in order to figure something out.
http://mathworld.wolfram.com/FourierTransformSine.html
I don't really understand the delta function though.
 
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sin(2πf0t) has only a single frequency, so in the frequency domain, it is a delta function.
 

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