The anti-lock brake system in your 1999 Oldsmobile Alero is part of the enhanced traction system. The "Trac Off" light indicates that the ETS system is disabled. Since the ABS light is also lit, the ETS is most likely disabled because there is an ABS malfunction.
The electronic brake control module disables the ETS when it sets diagnostic trouble codes C1221 through C1228, or C1232 through C1235. These DTCs indicate problems with wheel speed sensors or speed sensor circuits used by the ABS. No provision was made in your Alero to pull a DTC using flash codes, so you'll need a scan tool determine which code or codes are logged. Since it takes 100 drive cycles to clear a code from the EBCM, use a scan tool to clear the codes after repairs are made to the ABS.
