B767-200 FLT CREW HAS A TRAILING EDGE FLAP DISAGREE WARNING ON APCH TO LAX; CA.

Narrative

OUR B767-200 HAD A PREVIOUS MAINT PROBLEM; DURING WHICH THE ACFT LANDED AT JFK WITH FLAPS 26 DEG FOR LNDG AND THE 'TRAILING EDGE FLAP DISAGREE' LIGHT ON; JUST PRIOR TO OUR FLT; WHICH WAS LATER THAT SAME DAY. ON CIVET 4 ARR; I THINK BTWN BREMR AND ARNES; WHEN FO CALLED FOR FLAPS 1 DEG; WE GOT EICAS MESSAGE 'TRAILING EDGE FLAP DISAGREE' MESSAGE. FO FLYING. 2 PAGE CHKLIST. FOUND IT DISJOINTED/NON FLOWING/AND IN THE END IT DID NOT WORK. GREAT CRM; I HAD THE FO DO THE LIST AGAIN WHILE I FLEW AND DID THE RADIOS. SAME THING; THE CHKLIST DID NOT GET THE FLAPS OUT EVEN TO 1 DEG; MUCH LESS THE 20 DEGS THAT WE WERE TRYING TO GET. COORD WITH ATC/DISPATCH/MAINT/CREW/FLT ATTENDANTS; ETC. MAYBE NO FLAP LNDG AT ONT. NOTICED SLIGHT PWR AND PITCH CHANGE SO THOUGHT MAYBE FLAP INDICATION PROB. HAD PURSER CHK FOR VISIBLE FLAP MOVEMENT -- NONE. TRIED INCREMENTAL ALTERNATE TRAILING EDGE FLAP DEPLOYMENT AND IT WORKED. SO; WITH GREAT CRM; WE WORKED FLAPS DOWN TO 20 DEGS AND DID AN UNEVENTFUL LNDG ON LAX RWY 25L. HAD DECLARED AN EMER WITH ATC AND CONFIRMED TWICE WITH THEM THAT WE MAY NOT BE ABLE TO RETRACT FLAPS AFTER LNDG; (IE; NO SECURITY PROB). THANKS TO ALL AT LAX; DISPATCH; ATC; CRASH CREW; GREAT FO!