havasu, is spot on with his advice.
another method if the sink has been on the cabinet for a long time.
cut the caulk all the way around the sink, remove the p trap and pull the whole sink.
clean the cabinet, the sink also, change out old parts for new.
reset the sink in a new bed of caulk, dress up the caulking,
it will be good for another 10-15 years,