A sombrero was a Mexican hat with a wide, round brim turned up at the edges.

In 2366, after Q's powers were restored to him, he thanked the crew of the USS Enterprise-D with a small musical performance by a sombrero-wearing mariachi band. Q himself had a sombrero on his back. (TNG: "Deja Q")

In 2376, Harry Kim considered providing Tuvok's holoprogram of the Oracle of K'Tal with a sombrero, after Tom Paris had initially altered it to wear pajamas. (VOY: "Live Fast and Prosper")

In the 33rd century, Zora surprised Craft with "Taco Tuesday," hiding the synthesized tacos under a sombrero on the mess hall tray. (ST: "Calypso")

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