IPA: /ˈsɪnɪkli/
KK: /ˈsɪnɪkli/
In a way that shows distrust or disbelief in people's motives or sincerity.
She cynically dismissed his apology as insincere.
Cynically → It is formed from "cynic" (from Greek "kynikos", meaning dog-like or pertaining to dogs, referring to the philosophical school of Cynicism) and the suffix "-ally" (meaning in a manner of). The word "cynically" means in a manner that reflects a belief that people are motivated purely by self-interest, akin to the original dog-like behavior of the Cynics.
Think of the word 'cynic' which relates to a belief that people act out of self-interest, and remember that 'cynically' means acting in that self-interested manner.