pleased, especially with oneself or one's merits, advantages, situation, etc., often without awareness of some potential danger or defect; self-satisfied: The voters are too complacent to change the government.
pleasant; complaisant.

1650–60; < Latin complacent- (stem of complacēns, present participle of complacēre to take the fancy of, please, equivalent to com- com- + placēre to please

complacently, adverb
noncomplacent, adjective
noncomplacently, adverb
overcomplacent, adjective
overcomplacently, adverb
uncomplacent, adjective
uncomplacently, adverb

complacent, complaisant, compliant.

1. smug, unbothered, untroubled. Unabridged
Based on the Random House Dictionary, © Random House, Inc. 2014.
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World English Dictionary
complacent (kəmˈpleɪsənt)
1.  pleased or satisfied, esp extremely self-satisfied
2.  an obsolete word for complaisant
[C17: from Latin complacēns very pleasing, from complacēre to be most agreeable to, from com- (intensive) + placēre to please]

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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Word Origin & History

1650s, from L. complacentem "pleasing," prp. of complacere (see complacence). Related: Complacently (1816).
Online Etymology Dictionary, © 2010 Douglas Harper
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Example sentences
Give people too little to pay attention to and they'll become complacent.
Taxi companies, complacent after decades of government coddling, have resisted
  entering into fare wars.
There is the beloved monarch, magnanimous and complacent.
On the way up, macroeconomists were not wholly complacent.
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