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Optimal interpolation formulas exact for trigonometric functions
NOVEL TRENDS IN RHEOLOGY IX, 2023S. Babaev +3 more
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Graphs of Trigonometric Functions
2001One of the most important uses of trigonometry is in describing periodic processes. We find many such processes in nature: the swing of a pendulum, the tidal movement of the ocean, the variation in the length of the day throughout the year, and many others.
Israel M. Gelfand, Mark Saul
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Approximation of trigonometric functions by trigonometric polynomials with interpolation [PDF]
Journal of Contemporary Mathematical Analysis, 2010 The paper studies the approximation order of periodic functions by trigonometric polynomials with interpolation in arbitrary set of nodes. A method of construction of Hermite interpolation polynomials is pointed out.
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Trigonometric and Inverse Trigonometric Functions. Hyperbolic and Inverse Hyperbolic Functions
1994If theoretical problems are under consideration, angles are not measured in degrees, but in radians (circular measure): The magnitude of an angle α is given by the length l of the arc, intercepted by the arms of the angle α on the unit circle with centre at the vertex of the angle (Fig. 2.1).
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, 2015
A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10.
N. Downs +7 more
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A short series of practical classroom mathematics activities employing the use of a large and publicly accessible scientific data set are presented for use by students in years 9 and 10.
N. Downs +7 more
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Trigonometric Functions and Applications
2015We investigate the sine and cosine functions, show the Weierstrass function is continuous and nowhere differentiable, construct the number π, establish that π is an irrational number, and give a brief treatment of polar coordinates.
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Trigonometric Functional Equations [PDF]
, 2011 The famous addition and subtraction rules for trigonometric functions can be represented by using functional equations. Some of these equations will be introduced and the stability problems for them will be surveyed. Section 12.1 deals with the superstability phenomenon of the cosine functional equation (12.1) which stands for an addition theorem of ...
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A Functional Definition of Trigonometric Functions
2000The purpose of this paper is to give a functional definition of the trigonometric functions and to deduce their properties from the properties of the Lobachevsky’s complex functional equation [1,2].
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2002
The q-analogues of the sine and cosine functions can be defined in anal-ogy with their well-known Euler expressions in terms of the exponential function.
Pokman Cheung, Victor G. Kac
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The q-analogues of the sine and cosine functions can be defined in anal-ogy with their well-known Euler expressions in terms of the exponential function.
Pokman Cheung, Victor G. Kac
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Trigonometric sums through Ramanujan’s theory of theta functions
The Ramanujan journal, 2021K. Harshitha +2 more
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