Trigonometric Functions
Application of Complex Integral on Solving Some Integral Problems of Trigonometric Functions
... From the discussion above,we know that using complex integral can easily solve some integral problems of trigonometric functions. In fact, the applications of complex integralare extensive, and can be used ...
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Three families of two parameter means constructed by trigonometric functions
... The paper is organized as follows. In Section , some useful lemmas are given. Three families of trigonometric functions and means with two parameters and their proper- ties are presented in Sections -. ...
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Approximating trigonometric functions by using exponential inequalities
... involving trigonometric and inverse trigonometric functions play an impor- tant role and have many applications in science and engineering [2, 8, 12, 17–19, ...
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Three Inequalities Involving Hyperbolically Trigonometric Functions
... The study of Jordan’s and Kober’s inequality and inequalities of trigonometric functions has a rich literature, for example, [1, 2, 4, 6, 7, 8, 9, 10, 11] and references therein. There are many refinements, ...
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On the spectral norms of some circulant matrices with the trigonometric functions
... In 1885, circulant matrix was first proposed by Muir, and he did some basic research. Until 1950–1955, Good et al. began to study the inverse, determinants and characteristic values of circulant matrices; these efforts ...
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A Computational Method with MAPLE for a Piecewise Polynomial Approximation to the Trigonometric Functions
... Abstract: A complete MAPLE procedure is designed to implement effectively an algorithm for approximating the trigonometric functions. The algorithm gives a piecewise polynomial approximation on an arbitrary ...
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Fractional Weierstrass Function by Application of Jumarie Fractional Trigonometric Functions and Its Analysis
... The functions which are continuous but non-differentiable in integer order calculus can be characte- rized in terms of fractional calculus and especially through Holder exponent [10] ...differentiable ...
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Padé approximant related to remarkable inequalities involving trigonometric functions
... These inequalities were of great interest throughout the research, since they were ex- tended in different forms in the recent past. We refer to [–] and closely related refer- ences therein. Some of the recent ...
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Calculating Some Integrals of Trigonometric Functions
... In this paper, we use binomial series and integration term by term theorem to solve some integral problems related with the trigonometric functions. In fact, the applications of the two methods are ...
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Analysis of errors in derivatives of trigonometric functions
... algebraic functions. They did not study limits involving trigonometric functions, as they were not included in their ...other functions such as exponential, logarithmic and ...
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Inverse Trigonometric Functions
... many functions which are not one-one, onto or both and hence we can not talk of their ...that trigonometric functions are not one-one and onto over their natural domains and ranges and hence their ...
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Integral Problems of Trigonometric Functions
... The article considers six types of integrals related with the powers of trigonometric functions. We can obtain the infinite series expressions of these integrals by using Taylor series expansions and ...
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Some Applicable Methods Of Approximating Basic Trigonometric Functions And Their Inverse Value
... The main results of this paper are method one, two, three, four and corresponding approximation methods. They are collectively named as some applicable methods and they are used to compute value and inverse of basic ...
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Padé approximants for inverse trigonometric functions and their applications
... inverse trigonometric functions, we show that the new inequalities presented in this paper are more refined than that obtained in earlier ...metric functions and hyperbolic functions in our ...
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M53 Lec1.5 IVT Squeeze Theorem Limits Involving Trigonometric Functions.pdf
... 1 The trigonometric functions are continuous on their respective domains.[r] ...
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Thermoelastic symmetric and antisymmetric wave modes with trigonometric functions in laminated plates
... Nayfeh and Chementi 1989, 1991; Jones 1975, 1999; Liu et al. 1990) and in thermoelasticity (Hawwa and Nayfeh 1995) were limited to a given plane of incidence from a line load parallel to the y -axis such that the problem ...
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20. Optimal inequalities for hyperbolic and trigonometric functions
... involving trigonometric and hyperbolic inequalities have attracted attention of several ...for trigonometric and hyperbolic func- tions have been studied extensively in numerous ...
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Applying trigonometric functions
... Scientific and graphics calculators can both be used to find trigonometric ratios of angles expressed in degrees or radians. It is important to check that the calculator is in the correct mode for the angle measure ...
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Shafer type inequalities for inverse trigonometric functions and Gauss lemniscate functions
... 11. Carlson, BC: Algorithms involving arithmetic and geometric means. Am. Math. Mon. 78, 496-505 (1971) 12. Neuman, E: On Gauss lemniscate functions and lemniscatic mean. Math. Pannon. 18, 77-94 (2007) 13. Neuman, ...
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Trigonometric Functions Part I Review.doc
... a trigonometric ratio for angles expressed in degrees that are multiples of 0º, 30º, 45º, 60º or 90º, or for angles expressed in radians that are multiples of 0, , and explain the ...
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