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
jhabeb@yu.edu.jo
Mowaffaq Hajja
Dept. of Mathematics, Yarmouk University, Irbid, Jordan
mowhajja@yahoo.com
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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