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

Jebrel M. Habeb, Mowaffaq Hajja

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Abstract

In this paper, 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 establish- ing trigonometric inequalities that involve such functions.

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What this paper is about

In this paper, 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 establish- ing trigonometric inequalities that involve such functions.

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Available abstract

In this paper, 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 establish- ing trigonometric inequalities that involve such functions.

Key concepts: Trigonometry, Mathematics, Trigonometric functions, Inequality, Triangle inequality, Inverse trigonometric functions, Pythagorean trigonometric identity, Calculus (dental)

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