|This article does not cite any references or sources. (November 2008)|
Cooke was ranked in Top 10 in the United States in 1938 (ranked No. 7), 1939 (No. 6), 1940 (No. 9), and 1945 (No. 4).
At Wimbledon, he reached the singles final in 1939 before falling to Bobby Riggs, but won the doubles title that year with Riggs. He was the U.S. Indoor Doubles champion with Riggs in 1940.
At the Cincinnati Masters, he reached both the singles and the doubles final in 1945. He lost the singles final to future International Tennis Hall of Fame enshrinee Bill Talbert, and the doubles final to Talbert and Hal Surface.
He held the Pacific Northwest Sectional singles ranking of No. 2 in 1935, and No. 1 in 1936, and was ranked No. 1 in doubles in the Pacific Northwest (with Don Lewis) in 1935.
In the Oregon State Tournament, he won the singles title in 1936, and the doubles title with Wayne Sabin in 1935 and with Sam Lee in 1936. His 1935 win was over Newton and Bennett who had just won the National Intercollegiate Doubles title.
In the Pacific Northwest Sectional, he won the singles title in 1935 and 1936, and the doubles title with Wayne Sabin in 1935. He was a Naval Officer during World War II, and was married to International Tennis Hall of Famer Sarah Palfrey Cooke.
After he retired from tournament play, he was the head tennis professional at Sunningdale Country Club in Scarsdale, New York from 1961–1981.