the only way to connect them is audio ...and you can either connect the Tv to the system ..(for better sound ) ..and in this case use the rca (left /right ) to rca (left right ) on the sharp ..if it supports..or ..use a double rca stereo cable ..with a jack 3.5 end ..and insert it in the audio input of teh sharp system ..
The signal from the Tv it will have to be taken from the audio out like in th epage 13 of the manual ..(it has a mono exit ..on rca probably ) and a left and right stereo one ..
If the sharp supports rca stereo in ...use it ..or ...just use the jack (3,5 stereo ) in ...and do not forget to select the proper channel ..
if the sharp system has a TV input channel for sound..on the receiver..use it ..and select the TV to playback the sound ..if it do not ..use the aux.. and selct the aux for control it ..
I do not believe you need to connect it in the other way cause it is not make any sense ..but the procedure is the same ..get audio signal from the system and insert into the audio in of the TV ..it is in the same place and also available mono and stereo ..You will have to select the input in the tv menu..
The cable you need for a stereo connection I think will look like thi s..http://www.alibaba.com/product-gs/369945799/Factory_direct_supply_Adapter_Cable_jack.html