The manual for that TV is useless by the way. No pictures of the connections and no instructions other than to use HDMI for inputs. If there are analog audio outputs you have to go to the settings menu, then audio/sound and select the audio out you want from the sound out menu. Try that if there is an analog audio output.
To convert optical to analog you need an active device called a DAC not just a passive cable. Optical is light not an electrical connection.
If what you got is powered then you should be OK. You may need to set the audio output type of the TV to get the DAC to work.