wrote:
The TV has a built in tuner. The problem is that it only has RCA inputs
and the cable company coax is an F connector.

If it has a tuner... it has to have some sort of antennae inputs.
RCA inputs source composite video and provide a signal to video 1 or
video 2 and bypass the tuner.

If it truly only has RCA inputs... then it probably doesn't have a
tuner. It its a really old (and I mean 20 years and isn't cable
ready) it might just have a 300 ohm antennae input (2 screws) which you
can use with the converter I showed in my last post.
Trouble is... if the TV is that old you may not be able to get any but
the first 13 cable channels cuz your tuner expects UHF input after
channel 13, IIRC. In that case the best solution is to continue using
your VCR tuner or get a cable box.

ScottW