Tate missed a glorious chance to take Swansea to the Championship

"What doesn't kill you makes you stronger," Tate told BBC Wales Sport.

"The hurt we feel is only going to make us stronger and push us on for automatic promotion so we won't be in the play-offs again.

"We'll be very determined and fired up. We'll probably have some new faces that will help kick us on into the top two."

Tate, Swansea's player of the year, said he felt numb after missing the penalty which consigned Kenny Jackett's side to another season in League One.

The 23-year-old right-back had also wasted a glorious opportunity to win the game in normal time when he sliced wide from the six-yard box.

Nearly every player has missed a penalty Swansea's Alan Tate

"I should have hit the target. It just wouldn't sit down for me in time," said Tate.

"I'd seen a few Barnsley defenders flying in before then so I had to take it early, but I should be hitting the target from there."

Tate's miss was indicative of Swansea's afternoon at Cardiff's Millennium Stadium as they created the better scoring opportunities, but failed to find the telling finish.

"We were the better team by a mile," said Tate, who was in the Swansea side that beat Hull on the final day of the season three years ago to avoid relegation to the Football League Conference.

"We've had 30 shots to their six. You can only plan to play well on the day and hopefully you win, but they've had a few breaks.

Akinfenwa missed Swansea's first penalty

"We didn't defend their second goal as well as we should. It was a poor wall and Nadriello only had to pass it in.

"You should be defending set-pieces better than that and ultimately it's cost us going to penalties."

Adebayo Akinfenwa had already sent his attempt high over the bar when Tate stepped up for Swansea's crucial fourth penalty.

Barnsley goalkeeper Nick Colgan guessed the correct way by diving low to his right, but Tate said he had no regrets about accepting the responsibility.

"It's just one of them things. Nearly every player has missed a penalty," he said.

"People say it takes guts to step up to take one, but I was big enough to take one against Walsall and big enough to take one against Barnsley.

"I scored against Walsall, but missed against Barnsley. It happens."