I don't know about that vintage Tercel, but I do need to back off the collective guess a bit. My first instinct was that his tstat was toast. If so, then it could be losing coolant as a result. Having said that, white steam from the exhaust is an advanced case of serious trouble, a more mild case -- early stages -- would be coolant loss with no visible outward signs. If the Tercel's motor is not known for this kind of problem - head gasket or cracks - then I would put it on the back burner.
Good point. My mechanic once said he detected a coolant problem with my car and he used his sniffer as the test tool. I assumed he put the sniffer in the exhaust, but it makes sense that he might have put it in the radiator. It turns out I had a cracked head, and I thought he was sniffing coolant in the exhaust, but he could have easily sniffed exhaust in the coolant.
Me too. My gut feeling is the tstat, I just got off on a tangent that reflects a worse case scenario.