Spurs had looked to be heading for half time all square until a disastrous two minute spell just before the break.
First Robin van Persie poached an opener at the near post ahead of Ledley King.
Then, straight from the kick off Cesc Fabregas stole the ball from Wilson Palacios, waltzed through a static visitor's defence to double the Gunners advantage.
Robin Van Persie sealed victory with a simple finish as referee Mark Clattenburg played advantage, after his assistant had flagged for a foul on Eduardo.
Van Persie claimed Tottenham 'died' once they fell behind telling Sky Sports 1: "They played with the right attitude, good spirit.
"It was a tight, tough first half hour, but from the moment we scored the first goal they died basically."
Van Persie said Fabregas' strike had more to do with his ability than Spurs' defensive frailties.
"(It was) his brilliance," said the Holland striker.
"Straight from the kick-off (Wilson) Palacios lost the ball, he went past Palacios and through Ledley King. To do that you need a lot of technique."