David Warner (71) and Cowan shared a 139-run stand before India hit back with spinners Ravi Jadeja (3-56), Ravi Ashwin and Pragyan Ojha taking vital wickets.
Australia's first-innings failures after winning the toss have set them up for big defeats in the first two Tests of the four-match series but Cowan says things could be different this time.
"If you bowl well enough, it's a tough wicket to score on,'' the opener said on Friday night.
"There's no grass on it. There's a lot of cracks.
"The ball if it catches a crack it can deviate either way.
"The ball was roughing up so we saw a lot of reverse-swing.
"You can't judge a wicket until both sides bat on it.
"If we can get another 70 or 80 in the morning, 350 runs on the board on a wicket that's playing a few tricks already, we believe that's lots of runs if we bowl well.''
- AAP