iPhone not showing any option of sync
Your iPhone is in Recovery Mode. 

Unplug it from your Mac/PC and exit the recovery mode.

Exit the recovery mode via:


  
  Hold down the home and power button for about 15 seconds, this shuts
  off the iPhone
  Press the power button to boot the iPhone
  


Now it should be rebooting. Connect it again with you Mac/PC and fire up iTunes. Everything should work as it meant to be.