Etymology
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complaisant (adj.)

1640s, "civil and gracious, desiring to please;" 1670s, "disposed to comply with another's wishes;" from French complaisant "pleasing, obliging, gracious" (16c.), present participle of complaire "acquiesce to please," from Latin complacere "be very pleasing to" (see complacent, its doublet, with which it overlapped in sense until mid-19c.). The French spelling possibly was influenced by Old French plaire "gratify." Related: Complaisantly.

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Definitions of complaisant

complaisant (adj.)
showing a cheerful willingness to do favors for others;
to close one's eyes like a complaisant husband whose wife has taken a lover
Synonyms: obliging
From wordnet.princeton.edu