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IMO LongList 1967, Italy 4

Source: IMO LongList 1967, Italy 4

December 16, 2004
parameterizationcalculustrigonometryalgebraTrigonometric IdentitiesIMO Longlist

Problem Statement

Find values of the parameter uu for which the expression y=tan⁡(x−u)+tan⁡(x)+tan⁡(x+u)tan⁡(x−u)tan⁡(x)tan⁡(x+u)y = \frac{ \tan(x-u) + \tan(x) + \tan(x+u)}{ \tan(x-u)\tan(x)\tan(x+u)} does not depend on x.x.
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