How about into Recovery Mode?
Press and hold the Power, Home and Volume Up buttons until your phone powers on, don't be alarmed if a warning pops up, just let the phone do it's thing and you will end up in Recovery Mode.
Once it's on, there will be a number of options in the top left corner. Use the volume buttons to scroll to 'Clear Cache Partition', press the Power Button to select.
Then once that's complete, scroll down and select 'Reboot System Now'.