Cite means to quote as proof. Site is a place. Sight is vision, or something seen. Cite the study. A construction site. Lost her sight. Diction as a set is in word choice.
Proof, place, or vision
If the sentence is about naming a source, use cite. If it is about a location, use site. If it is about seeing, use sight.
Access versus excess is another look-alike pair, in access versus excess. Then versus than is in then versus than. Grammar overall is in ACT grammar rules.
The bottom line
Quote: cite. Place: site. Vision: sight.
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