In fact, Cooper will be joining Lady Gaga on the Oscars stage to perform their nominee for Best Original Song, "Shallow." The two recently sang the song together on stage at Gaga's Las Vegas residency . "I just had to zen out and just pray that I wasn’t going to ruin her show," he told told E! News. "Because, think about it, she just crushed it for two hours. And I thought, ‘Please, let me just be on pitch."