How do I play sounds from my iPad to my Stereo wirelessly? Is this possible to stream the audio played on an iPad to a Stereo wirelessly ?

My stereo is connected to my iMac via BlueTooth. So If I can play the audio from my iPad on my iMac this will do what I want. But maybe there is another way to do it...

Another question is : Can I transmit the sound to my mac using the simple connector cable ?

What I really want to do is to use for instance GarageBand and hear the sound on my stereo. Wirelessly would be the best, but, as a second choice, I can handle the fact to be forced to be connected with USB.

And please, I know the ultime and last choice to use the mini-jack output on the iPad...
You can connect the iPad directly to your stereo using bluetooth. Or you can use AirPlay to stream audo to your iMac. However you cannot record anything while doing this:


  While the "AirPlay - Bluetooth - HDMI" switch is on, an alert appears if you try to record an Audio Recorder or Guitar Amp Touch Instrument, or if you try to record a sound with the Sampler. You can turn the switch off from the alert.


From: http://support.apple.com/kb/HT4622