Both Uses

coax
in
Words by Heart
(Auto-generated)

"Walk this way, Lena," he coaxed, standing behind it.†
Chpt 9 *

coaxed = tried to obtain a result through gentle and careful effort -- often gently persuaded
Finally she coaxed the team along the fencerow toward the road.†
Chpt 13

Definitions:

(1) (coax as in: coax her to join us)
try to obtain a result through gentle and careful effort -- often gentle persuasion
(2) (meaning too rare to warrant focus)
Less commonly, coax is a short for coaxial cable (a type of electrical cable used to transmit data, the internet, video and voice communications). Coaxial cables have a conducting wire surrounded by an insulating layer surrounded by a shield. The insulating layer and shield surround a common axis--the conducting wire.

In classic literature, you may see coax used as a synonym for caress or fondle.