cooking pan vs saucepan

cooking pan and saucepan both are nouns.

Word	Noun	Adjective	Verb	Adverb
cooking pan	Yes	No	No	No
saucepan	Yes	No	No	No

As nouns, saucepan is a hyponym of cooking pan; that is, saucepan is a word with a more specific, narrower meaning than cooking pan:

Other hyponyms of cooking pan include drip pan, dripping pan, frying pan, frypan, skillet, omelet pan, omelette pan, patty-pan, roaster, wok.

cooking pan (noun)	saucepan (noun)
cooking utensil consisting of a wide metal vessel	a deep pan with a handle; used for stewing or boiling