When I turn on the TV, it keeps making a clicking sound and doesn't turn on, just keeps making the clicking sound.

Hi Michael,
The main board in your TV appears to be faulty. An experienced technician can repair it or change it.

There is a short ciruit inside its circuit board. It sounds that the horizontal output transistor has gone leaky.

looks like a( DLP) tv digital light proccessor . aka projection. most likely the bulb is burned out . if so cost is $65-125 bucks. aftermarket bulbs are available online but some dont work or burn out prematurely. if you decide to fix it or buy a new tv ,invest in a surge protector. it will save your tv from problems like this . good luck.

What is the brand name to your TV? Visit the site named 'Electro-help' for more details. Click this link. View it in "Timeslide" option, which can be selected from the drop down box menu by the [Sidebar] tag, at the top left corner of the display window. It will make search easy. There are more than 1000 posts to different brand TVs now. Pull up older posts there.

What is the model number of your tv?
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Sounds like bulb is burnt out. Have replaced its the cheapest way to go. It may be a power board but if its out of its warrenty, then you may just want to buy a new set.

If totally dead it appears to be a power supply issue.

Nothing to do with connecting the TV to the stereo, more likely you are having power supply failing, the clicking sound is from power relay, the power supply may have unstable DC due to bad DC filter caps, bad solder joints or loose connections.
If you are going to DIY and have proper tools, electronics knowledge, and know safety precaution then please read on:

Please see my basic troubleshooting guide here:
http://www.fixya.com/support/r5093881-lcd_flat_panel_tv_troubleshooting_guide

http://s807.photobucket.com/home/budm/allalbums

http://en.wikipedia.org/wiki/Capacitor_plague

Parts: www.shopjimmy.com

Please post back what you find.

I had the same problem with my tv, same make and model. I first continuously turn on and off my tv manually until I could get some kind of picture. This procedure took maybe five minutes. I was able to get a fine picture and sound, as if it was brand new! Other things to keep in mind, try to eliminate dust build up as much as possible.. Hope this helps out...