pique vs anger

pique and anger both are nouns.

Word	Noun	Adjective	Verb	Adverb
pique	Yes	No	Yes	No
anger	Yes	No	Yes	No

As verbs, anger is a hypernym of pique; that is, anger is a word with a broader meaning than pique:

pique (noun)	anger (noun)
tightly woven fabric with raised cords	belligerence aroused by a real or supposed wrong (personified as one of the deadly sins)
a sudden outburst of anger	a strong emotion; a feeling that is oriented toward some real or supposed grievance
	the state of being angry

pique (verb)	anger (verb)
cause to feel resentment or indignation	make angry
	become angry