Is it possible to connect an audio coax cable to the back of my HDTV?

[Gamer_sony]

This picture is from the manual and it shows the inputs/outputs of my HDTV

http://postimg.org/image/cyt6zv30b/

Is it possible to connect an audio coax cable from a PC to it for audio?

 

[rcxtra]

Yes, assuming you want PC audio OUT to TV audio IN (i.e. hear PC audio through TV speakers).
You need a Y splitter like this:
https://www.amazon.com/Belkin-Audio-Cable-Splitter-1-Mini/dp/B00004Z5CP?ie=UTF8&*Version*=1&*entries*=0