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AIME 1991 Problem 9

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Suppose that sec⁡x+tan⁡x=227\sec x+\tan x=\frac{22}7 and that csc⁡x+cot⁡x=mn,\csc x+\cot x=\frac mn, where mn\frac mn is in lowest terms. Find m+n.m+n^{}_{}.

Dataset text AIME 1983 to 2026. Quoted with source.

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