How do you connect inspire t6160 speaker system to tv?

Connect the green 1/8" stereo cable out of the T6160 to the audio output of the TV. If your TV has a headphone or 1/8" line output, you can use that jack. Otherwise, you will need a RCA adapter. Since you TV won't have a surround output jacks, you will only be able to use the front speakers and subwoofer.