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Trigonometric Functional Equations
2009In this chapter, trigonometric functional equations are studied on reals, groups, Hilbert space, etc., and cosine equations on reals, non-Abelian groups, and Hilbert space are studied. Sine equations, analytic solutions, addition and subtraction formulas, operator values, and some generalizations are studied also, and counterexamples are provided.
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The Derivatives of the Trigonometric Functions
Mathematics Magazine, 1957The following method of arriving at the derivatives of the trigonometric functions might appeal to some, even if for the sole reason that it differs from the conventional method employing the sin h lim . A novel feature of this derivation is the fact that the h-O h derivative of the sin 6 is arrived at last and then as a consequence we may obtain the ...
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Trigonometric Functions and Formulae
1991Definition of the six trigonometric functions for any angle; their periodic properties and symmetries.
B. Haines, R. Haines
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Some p-Adic Integrals on ℤp Associated with Trigonometric Functions
Russian journal of mathematical physics, 2018Dae San Kim, Taekyun Kim
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Summations on trigonometric functions
Applied Mathematics and Computation, 2003A brief maple program of one sentence is designed to compute some striking summations of trigonometric functions. Then our human imagination figures out the generating functions by means of formal power series and binomial convolution, which are confirmed through partial fraction expansions on trigonometric polynomials.
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Deep learning-enabled compact optical trigonometric operator with metasurface
PhotoniX, 2022Kuang Zhang+2 more
exaly
Transitional Trigonometric Functions
Volume 17: Transportation Systems, 2008Crash pulses in automotive collisions often exhibit acceleration shapes somewhere between a sine and a step function and velocity shapes somewhere between a cosine and a linear decay. This is an example of real world behavior that is only somewhat like the familiar sine, cosine, or tangent shapes so commonly used in physical modeling.
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