Stir together salt, pepper, cumin, chili powder, and cinnamon. Coat pork with spice rub.
Heat oil in ovenproof 12-inch heavy skillet over moderately high heat until just beginning to smoke, then brown pork, turning, about 4 minutes total. Leave pork in skillet.
Stir together brown sugar, garlic, and Tabasco and pat onto top of each tenderloin.
Roast in skillet. Place in middle of oven until meat thermomemeter inserted diagonally in center of each tenderloin registers 140°, about 28 minutes.
Let pork stand at room temperature for 10 minutes. Slice at diagonal and serve warm.