The tach sending unit is screwed into the side of the bell housing. The tip has an electo-magnetic sensor that counts rotations of the ring gear. If that tip is damaged - or if it's too far away from the ring gear - tach response can be erratic, or not work at all.
To check for tip damage, you must remove it for inspection. Replace if damaged is apparent. If the tip looks undamaged, check for damage to the connecting wires. It may look like only one, but there are actually two wires inside a sleeve. If the wires look good, screw the sender back in slowly - until you feel it barely touch the ring gear. At that point, back it out 1/2 to 3/4 turns and lock back down.
//greg//