2002 corolla makes a tapping/knocking sound from the engine

SOURCE: Idle and gear shifting 1987 celica automatic

I would suggest hat you replace the timing belt. The noise that you hear is the belt.

SOURCE: How to make the service engine light go out after a 5000 mile oil change.

These instructions were posted to reset the Maint Required light on a Toyota Sienna. Process should be the same for your Corolla. Best of luck and hope this answers your question.
Greg

1. With the car started (ignition on), set the LCD odometer readout to total mileage (not trip A or B).
2. Turn the car off (ignition key to the OFF position).
3. Push in AND HOLD the button/knob that switches the odometer
4. Turn key to ON position without starting the car. You will notice the maintenance light blink and go out.
5. Release the odometer button/knob.
6. Turn key to OFF position.
7. That's it! The "MAINT REQD" light has been reset to warn you to change your oil in another 5,000 or 7,500 miles or so

SOURCE: idle speed for my 2002 corolla 4zz-fe engine is low and unevan

Sounds like fuel filter to me. Change that and see.

SOURCE: 2000 toyota corolla ce motor trembling when on drive holding down brakes.

check the brake disks. surface should be cleaned. also check the brake pads.

SOURCE: my corolla makes a whining or high pitched noise

power steering pump is either low or needs replaced