cookery vs cooking

cookery and cooking both are nouns.

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

As nouns, cookery and cooking are synonyms defined as:

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

Other synonyms of cookery include preparation.

cookery (noun)	cooking (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