i would try changing your bulb in the rear of the car first then if it still not working then look for fuse or wiring problem
If you have the same bulb for brake and signal, brake light power needs to be interrupted by the signal lights, The brake circuit has to go through the signal light switch so the problem could be there.
check brake light fuse and brake light switch on pedal
May be stop light switch--usually located at the upper end of the brake pedal under dash
Check bulb they are double filamented smaller for brake light larger for tailight Check for a bad fuse Check the operation and adjustment of the stop light switch usually located at the upper end of the brake pedal under dash area
If your 92 Toyota Corolla taillights are out, but the dash light and fuse work fine, the bulbs could have burn out. Replace bulbs on each side.
A malfunctioning brake light relay switch will cause your 1993 Toyota Corolla brake lights to stay on all the time. The brake light relay switch is located beneath the drivers side dashboard.
Defective or mis-adjusted brake light switch
Check the brake light switch located under the 1989 Toyota Corolla. If the switch is stuck the parking light will continue to stay on.
My rear window brake light works, but not my tail light brakes on my 1997 Monte Carlo. What is the problem?
A brake light switch may be bad if a 1996 Toyota Corolla will not go into gear and the brake lights don't work. Another issue could be in the shift lock solenoid.
change the fuse if not replace flasher
Check the brake light switch.
the turn signal switch is probably bad
your brake light switch is probably out
Bulbs blown, or corroded sockets.
Stop light. Third brake light, or center high mounted stop light (CHMSL).
If you are talking about the dash indicator light, it should go out if all the brake lights are functioning properly. Don't forget the brake light in the rear window.