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Journal for Geometry and Graphics 12 (2008), No. 1, 011--021
Copyright Heldermann Verlag 2008

A Method for Establishing Trigonometric Inequalities Involving the Cotangents of the Angles of a Triangle

Jebrel M. Habeb
Dept. of Mathematics, Yarmouk University, Irbid, Jordan

Mowaffaq Hajja
Dept. of Mathematics, Yarmouk University, Irbid, Jordan

We find relations that define the cotangents of the angles of a general triangle, and we use these relations to describe a method for optimizing symmetric functions in the cotangents of such angles and for establishing trigonometric inequalities that involve such functions.

Keywords: Geometric inequalities, extrema, trigonometric inequalities, trigonometric identities, cotangents, Brocard angle, discriminant.

MSC: 51M16; 52B10

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