Never disconnect the safety earth, if a live shorts to the 'scope's case you're dead.
The only time it's safe to use an unearthed 'scope is when you're running it from an isolation transformer, even then you shouldn't remove the earth to the scope but plug it into an unearthed socked which is permanently connected to the isolation transformer.
If you're just triggering the scope from the mains then you could just connect the live to 'scope probe. Better still hold the probe in your hand and it'll pick up a couple of Volts of mains hum which should be enough to trigger it.
Another method of safely viewing mains signals is to use the differential function, the disadvantage is it uses two inputs.