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Trigonometric integration without trigonometric functions
Teaching Mathematics and its Applications, 2016Teaching techniques of integration can be tedious and often uninspired. We present an obvious but underutilized approach for finding antiderivatives of various trigonometric functions using the complex exponential representation of the sine and cosine. The purpose goes beyond providing students an alternative approach to trigonometric integrals.
James Quinlan, Joseph Kolibal
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Solving complex optimal control problems with nonlinear controls using trigonometric functions
Optimal control applications & methods, 2020This study investigates the use of trigonometric functions to resolve two major issues encountered when solving practical optimal control problems (OCPs) that are characterized by nonlinear controls.
Kshitij Mall, M. J. Grant, E. Taheri
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Exponential trigonometric convex functions and Hermite-Hadamard type inequalities
, 2021In this manuscript, we introduce and study the concept of exponential trigonometric convex functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for the newly introduced class of functions.
M. Kadakal +3 more
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FPGA Implementation of the Trigonometric Functions Using the CORDIC Algorithm
2019 5th International Conference on Advanced Computing & Communication Systems (ICACCS), 2019The paper presents the design principle and FPGA implementation of various trigonometric functions such as Sine, Cosine, Exponential, Inverse Exponential, Arc Tangent, Logarithm, and Polar to Rectangular conversion using the standard coordinate rotation ...
Pulipati Anil Kumar
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2022
In this chapter, we will define the Trigonometric Circle and extend the concept of angle discussed in Sec. 10.6 to angles whose measurement can be any real number [rather than angles whose measurement have to be between “0” (zero) and “2 π” (Rfullturn)].
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In this chapter, we will define the Trigonometric Circle and extend the concept of angle discussed in Sec. 10.6 to angles whose measurement can be any real number [rather than angles whose measurement have to be between “0” (zero) and “2 π” (Rfullturn)].
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Acta Mathematica Sinica. English series, 2019
The paper studies Sard’s problem on construction of optimal quadrature formulas in the space W2(m,0) by Sobolev’s method. This problem consists of two parts: first calculating the norm of the error functional and then finding the minimum of this norm by ...
A. Boltaev, A. Hayotov, K. Shadimetov
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The paper studies Sard’s problem on construction of optimal quadrature formulas in the space W2(m,0) by Sobolev’s method. This problem consists of two parts: first calculating the norm of the error functional and then finding the minimum of this norm by ...
A. Boltaev, A. Hayotov, K. Shadimetov
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Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions
Advances in Computational Mathematics, 2018In this paper we introduce a new family of interpolatory subdivision schemes with the capability of reproducing trigonometric and hyperbolic functions, as well as polynomials up to second degree.
R. Donat, S. López-Ureña
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Optimal interpolation formulas exact for trigonometric functions
NOVEL TRENDS IN RHEOLOGY IX, 2023S. Babaev +3 more
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Problems: Trigonometric and Inverse Trigonometric Functions
2021In this chapter, the basic and advanced problems of trigonometric and inverse trigonometric functions are presented. To help students study the chapter in the most efficient way, the problems are categorized in different levels based on their difficulty levels (easy, normal, and hard) and calculation amounts (small, normal, and large).
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Solutions of Problems: Trigonometric and Inverse Trigonometric Functions
2021In this chapter, the problems of the 11th chapter are fully solved, in detail, step-by-step, and with different methods.
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