cooking vs cookery

cooking and cookery both are nouns.

Word	Noun	Adjective	Verb	Adverb
cooking	Yes	No	No	No
cookery	Yes	No	No	No

As nouns, cooking and cookery are synonyms defined as:

cooking and cookery: the act of preparing something (as food) by the application of heat

Other synonyms of cooking include preparation.

cooking (noun)	cookery (noun)
the act of preparing something (as food) by the application of heat	the act of preparing something (as food) by the application of heat