Tanqueray studied at the Tonbridge School in England (1920-23). He was also a student at the studio of Hugh Cecil in London (1923-24).
Tanqueray opened his first studio at 139, High Street, Kensington in 1925. As one of London's youngest photographers, he was in a perfect position to document an era that had become obsessed with youth and modernism. Tanqueray moved to the more fashionable West End of London at 8,Dover street, near the Ritz Hotel. Tanqueray's photographs appeared regularly in the weekly Sketch and Tatler and most frequently inside and on the cover of Theatre World. He subsequently was known as one of the top Portrait Photographers of the times.
During the 1930s Tanqueray was a member of the Institute of British Photographers.