Two-parameter taxicab trigonometric functions

Refinements of a Two–sided Inequality for Trigonometric Functions

In this paper, we prove that for x ∈ (0,π/2) (cos p1x) 1/(3p1) < sinx x < (cos p0x) 1/(3p0) < · · · < e−x/6 < 2+ cos x

Discrete Trigonometric Matrix Functions

We explore a pair of matrix solutions to a certain discrete system which has various properties similar to the familiar continuous trigonometric functions, including basic identities and sum and difference of two angles formulas. Then we examine separation properties of these matrices. An oscillation result is also given.

Generalized Trigonometric Functions: 10744

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Inequalities Involving Hyperbolic Functions and Trigonometric Functions

Inequalities involving hyperbolic functions and trigonometric functions are established. Most of the established inequalities can be regarded as the companion inequalities to those obtained by Lazarević, Adamović and Mitrinović and Cusa and Huygens The established results are obtained with the aid of the Schwab-Borchardt mean.

Trigonometric functions, elliptic functions, elliptic modular forms