_(I was surprised to see that I cannot find another thread that discusses this. Perhaps my search-fu is weak...)_
The used for adjectives has a clear historical derivation. This started as , the adverbial particle, + , the classical terminal (sentence-ending) form of modern . + then contracted to for the terminal form. If a adjective came at the end of a sentence, in classical Japanese, it would end with , as in You might still encounter this form from time to time in poetry.
Classical terminal had an attributive form (when modifying another noun) of . So + contracted to , as in . Again, this form still appears in poetry, especially if the author is trying to evoke an old-fashioned or traditional feel.
As time passed, the terminal form disappeared, replaced with the modern , and the attributive form contracted even further into just .