Discrete and discreet are both adjectives. The pronunciation is the same, and the spelling is similar, so they are easily confused.
Discrete means distinct and separate, whereas discreet means “intentionally unobtrusive” and inconspicuous or careful and circumspect (in speech or behavior).
Synonyms include subdued and understated for the first meaning of discreet and prudent for the second.
Discrete segments of the population have been identified as part of the study’s methodology.
The chronon has been proposed as a discrete and indivisible unit of time.
The discreet lighting and cozy furnishings helped me relax as I braced myself for a difficult conversation.
The discreet packaging gives no indication of the contents.
These different meanings are also reflected in the adverbs discretely and discreetly.
Time can be measured discretely or continuously.
John asked Chris a series of personal questions, knowing that a camera was discreetly recording their interaction.
They’d been meeting discreetly for over a year before I learned about their relationship.