disengage vs loosen up

disengage and loosen up both are verbs.

Word	Noun	Adjective	Verb	Adverb
disengage	No	No	Yes	No
loosen up	No	No	Yes	No

As verbs, loosen up is a hyponym of disengage; that is, loosen up is a word with a more specific, narrower meaning than disengage:

Other hyponyms of disengage include dig out, unclog, unstuff, disencumber, disentangle, extricate, untangle.

disengage (verb)	loosen up (verb)
become free	become less tense, rest, or take one's ease
release from something that holds fast, connects, or entangles	cause to feel relaxed
free or remove obstruction from	make one's body limber or suppler by stretching, as if to prepare for strenuous physical activity
	cause to become unblocked
	become less tense, less formal, or less restrained, and assume a friendlier manner