k-Fractional trigonometric functions

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

Section 8: Basic Trigonometric Functions

Our goal in this section is to define and develop the six basic trigonometric functions. We start with two of the more important transcendental functions, namely the sine function and the cosine function. These are universally denoted by y = sinx and y = cos x respectively. In order to define sinx and cosx, we first need to agree on how we are going to measure angles. An angle, θ, consists of t...