Trevor is a world champion who competes in the Professional Rodeo Cowboys Association (PRCA). He holds the record for the most PRCA world champion titles with 24. Brazile won his 24th title in 2018. Brazile also holds the record for the most World All-Around Cowboy Champion titles at 14, breaking the record of 9 titles held by Ty Murray, Murray's last earned was in 1998. In 2010, Brazile won his 8th all-around title, surpassing Murray's seven titles from 1998. Murray's titles were won all in roughstock events, as opposed to Brazile's timed-event wins, and he is still the youngest winner of the title.
Brazile won the World All-Around Cowboy Championship in 2002, 2003, 2004 and 2006 through 2015, and in 2018. He won the World Tie-down Roping Championship in 2007, 2009 and 2010. He won the World Team Roping Championship in 2010. He won the World Steer Roping Championship in 2006, 2007, 2011, 2013, 2014, and 2015. He also won two Wrangler NFR Average titles. One was in Team Roping in 2008 and one was in Tie-Down Roping in 2010.
The late Jim Shoulders set the record of 16 world championships in 1959 when he won his 15th and 16th titles. Steer roper Guy Allen matched the record in 2001 after winning his 16th steer roping title. Two years later in 2003, he broke Shoulder's record after winning a 17th title. Allen won his 18th and final record to date in 2004. In 2013, Brazile won another all-around title and his total number of world titles moved to 19 world titles. This broke Allen's record of 18 world titles. As of 2018, Brazile has 24 world titles, five more than Allen, who is in second place with 18 titles, and Shoulders is in third place with 16 titles.
In 2008, he became the first PRCA cowboy to cross the $3 million mark in career earnings.
In 2022, Trevor was inducted into the Vegas NFR Icons, along with other TCHOF Honorees, Charmayne James and Ty Murray.
Brazile was born in Amarillo, Texas, and says that "he wants to be remembered as a great cowboy".