A Method for Establishing Trigonometric Inequalities Involving the Cotangents of the Angles of a Triangle
Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 11-21
Cet article a éte moissonné depuis la source Heldermann Verlag
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.
Classification :
51M16, 52B10
Mots-clés : Geometric inequalities, extrema, trigonometric inequalities, trigonometric identities, cotangents, Brocard angle, discriminant
Mots-clés : Geometric inequalities, extrema, trigonometric inequalities, trigonometric identities, cotangents, Brocard angle, discriminant
@article{JGG_2008_12_1_JGG_2008_12_1_a1,
author = {J. M. Habeb and M. Hajja },
title = {A {Method} for {Establishing} {Trigonometric} {Inequalities} {Involving} the {Cotangents} of the {Angles} of a {Triangle}},
journal = {Journal for geometry and graphics},
pages = {11--21},
year = {2008},
volume = {12},
number = {1},
url = {http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a1/}
}
TY - JOUR AU - J. M. Habeb AU - M. Hajja TI - A Method for Establishing Trigonometric Inequalities Involving the Cotangents of the Angles of a Triangle JO - Journal for geometry and graphics PY - 2008 SP - 11 EP - 21 VL - 12 IS - 1 UR - http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a1/ ID - JGG_2008_12_1_JGG_2008_12_1_a1 ER -
%0 Journal Article %A J. M. Habeb %A M. Hajja %T A Method for Establishing Trigonometric Inequalities Involving the Cotangents of the Angles of a Triangle %J Journal for geometry and graphics %D 2008 %P 11-21 %V 12 %N 1 %U http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a1/ %F JGG_2008_12_1_JGG_2008_12_1_a1
J. M. Habeb; M. Hajja . A Method for Establishing Trigonometric Inequalities Involving the Cotangents of the Angles of a Triangle. Journal for geometry and graphics, Tome 12 (2008) no. 1, pp. 11-21. http://geodesic.mathdoc.fr/item/JGG_2008_12_1_JGG_2008_12_1_a1/