The Collaborative International Dictionary of English v.0.48:

Coax \Coax\ (k[=o]ks; 110), v. t. [imp. & p. p. Coaxed; p. pr.
   & vb. n. Coaxing.] [Cf. OE. cokes fool, a person easily
   imposed upon, W. coeg empty, foolish; F. coquin knave,
   rogue.]
   To persuade by gentle, insinuating courtesy, flattering, or
   fondling; to wheedle; to soothe.

   Syn: To wheedle; cajole; flatter; persuade; entice.
        [1913 Webster]