Are all frequency diagrams symmetric about the origin because the sine function is odd?

ivyn

In the context of image processing, Fourier transforms decompose an image into its sine and cosine components. The input image is the spatial domain, a space where distances in pixels directly correspond to real distances (e.g. meters). The output of the transformation represents the image in the frequency domain, a space where an image value at an image position represents the amount that the intensity values in the image vary over a specific distance related to that position.

Are all frequency diagrams symmetric about the origin because the sine function is odd?

In the context of image processing, Fourier transforms decompose an image into its sine and cosine components. The input image is the spatial domain, a space where distances in pixels directly correspond to real distances (e.g. meters). The output of the transformation represents the image in the frequency domain, a space where an image value at an image position represents the amount that the intensity values in the image vary over a specific distance related to that position.

https://homepages.inf.ed.ac.uk/rbf/HIPR2/fourier.htm