](/images/equations/FourierTransformSine/Inline1.svg) |  |  |
(1)
|
 |  | ![1/2iint_(-infty)^infty[-e^(-2pii(k-k_0)x)+e^(-2pii(k+k_0)x)]dx](/images/equations/FourierTransformSine/Inline6.svg) |
(2)
|
 |  | ![1/2i[delta(k+k_0)-delta(k-k_0)],](/images/equations/FourierTransformSine/Inline9.svg) |
(3)
|
where 
is the delta function.
Fourier Transform--Sine
See also
Fourier Transform, Fourier Transform--Cosine, SineExplore with Wolfram|Alpha
References
Bracewell, R. The Fourier Transform and Its Applications, 3rd ed. New York: McGraw-Hill, pp. 79-90 and 100-101, 1999.Cite this as:
Weisstein, Eric W. "Fourier Transform--Sine." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/FourierTransformSine.html