updated 09/26/2013 AT 1:00 PM ET
•originally published 09/26/2013 AT 2:15 PM ET
Big Bang Theory actress Kaley Cuoco is engaged to her tennis player boyfriend, Ryan Sweeting, her rep confirms to PEOPLE.
The couple made their red carpet debut at the 65th Annual Emmy Awards on Sunday, with the actress wearing an oxblood-colored dress by Vera Wang.
On Friday, Cuoco, 27, called Sweeting the “greatest date ever” on Instagram, sharing a cuddly photo of the pair.
“He is an amazing guy,” a source tells PEOPLE. “She is so happy.”