Here are photos of the Trocadero, notice how it has changed over the years, loosing its roof and changing signs and later being resurrected:

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Originally known as the La Boheme from 1929 to 1933, the Trocadero was opened by Hollywood Reporter William Wilkerson in 1934. After years of serving as one of Hollywood's best evening destinations, the "Troc" was closed in 1946. Back in the 1930s Sunset Boulevard contained the world's hottest nightspots, including the famous trio: The Trocadero (8610 Sunset Blvd. - seen here), Ciro's (8433 Sunset Blvd.), and The Mocambo (8588 Sunset Blvd.).
Exterior view of the Cafe Trocadero on the Sunset Strip before it was remodeled. A second sign below the nightclub name reads, "Phil Ohman's Music."

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Exterior view of the Trocadero, located at Sunset Blvd. and Sunset Plaza Drive, as seen from across the street, looking south. Note the art designs on the wall and above each of the doors. Photo dated: February 17, 1938.

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Exterior view of the new Cafe Trocadero, a low-slung building located at Sunset Blvd. and Sunset Plaza Drive, as seen from across the street. A taxicab is parked in front. circa 1935

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Exterior view of the famous nightclub Trocadero, located at 8610 Sunset Boulevard in what is now West Hollywood. This view, from where Sunset Plaza Drive (foreground) meets Sunset Boulevard, shows the nightclub after it had undergone extensive remodeling. circa 1945
Among the celebrities who frequented the Trocadero were Fred Astaire, Bing Crosby, Cary Grant, Myrna Loy, Jackie Gleason, Henry Fonda, Judy Garland, Lucille Ball, Desi Arnaz, Jean Harlow, and Norma Shearer. The Trocadero was featured in the 1937 movie A Star is Born starring Janet Gaynor and Fredric March. That same year, vaudevillian and Three Stooges manager Ted Healy died shortly after a fight in the parking lot, allegedly at the hands of fellow contractee Wallace Beery and MGM studio executive Eddie Mannix. A 2004 documentary film claimed that Healy's assailants were actually Wallace Beery, gangster Pat DiCicco, and DiCicco's cousin Albert "Cubby" Broccoli.
Actress/comedienne Thelma Todd, who died mysteriously in December 1935, spent an evening at the Trocadero at a party thrown by Ida Lupino and her father Stanley. Todd had formerly been married to Pat DiCicco, and was angry that he had shown up there with another actress, Margaret Lindsay. The party was one of the last times that she was seen alive. (Wikepedia)
Today, a " new" Trocadero stands as a nightclub at 8610 Sunset Boulevard on the Sunset Strip.:

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Notice the buildings on the left still stand!