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FPGA Implementation of the Trigonometric Functions Using the CORDIC Algorithm

2019 5th International Conference on Advanced Computing & Communication Systems (ICACCS), 2019
The 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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Problems: Trigonometric and Inverse Trigonometric Functions

2021
In 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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TRIGONOMETRIC FUNCTIONS

1973
Publisher Summary This chapter discusses the definitions, basic properties, and graphs of trigonometric functions. If the points (x1y1) and (x2, y2) lie on the same horizontal line or the same vertical line, the distance is |x1 - x2 |or |y1 - y2|; in such a case, there is no need to introduce an auxiliary point.
Harley Flanders, Justin J. Price
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Construction of Optimal Quadrature Formulas Exact for Exponentional-trigonometric Functions by Sobolev’s Method

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
semanticscholar   +1 more source

Nonlinear stationary subdivision schemes reproducing hyperbolic and trigonometric functions

Advances in Computational Mathematics, 2018
In 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
semanticscholar   +1 more source

The Trigonometric Functions

The Mathematics Teacher, 1950
In this article we shall indicate many different methods by which the sine and cosine functions may be defined. (From these the other four functions may be obtained by their usual definitions in terms of the sine and cosine functions, viz., cot θ = cos θ/sin θ.) In the course of the discussion we shall consider the trigonometric functions from various ...
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Solutions of Problems: Trigonometric and Inverse Trigonometric Functions

2021
In this chapter, the problems of the 11th chapter are fully solved, in detail, step-by-step, and with different methods.
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The trigonometric functions

The Mathematics Teacher, 1958
Herein is presented a definition of trigonometric functions not usually found in elementary texts. Continuing in the same unusual way, properties of these functions are derived in a manner simple enough to use in an early calculus course.
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Values of Trigonometric Functions

Math Horizons, 2009
With the obvious exception of tan(90?), every entry in the table is either a rational number or the square root of a rational num ber. On the other hand, the Intermediate Value Theorem tells us that the sine and cosine functions assume all values in the interval [-1,1], and the tangent function assumes all real val ues. So why all the emphasis on these
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The trigonometric functions

1978
Originally, trigonometry was developed to solve problems involving triangles. As such, it is a very important tool for surveyors, machinists, engineers, astronomers, and navigators. As we shall see, the trigonometric functions are readily available in APL. Therefore, we shall study some of the basic properties of the trigonometric functions and explore
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