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Inverse trigonometric functions

About: Inverse trigonometric functions is a research topic. Over the lifetime, 854 publications have been published within this topic receiving 11141 citations. The topic is also known as: arcus function & antitrigonometric function.


Papers
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Journal ArticleDOI
TL;DR: In this article, the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1x were shown to have the same relationship as in this paper.
Abstract: In this paper, we obtain some new inequalities which reveal the further relationship between the inverse tangent function arctanx and the inverse hyperbolic sine function sinh−1x. At the same time, we give the analogue for inverse hyperbolic tangent and inverse sine.

7 citations

Journal ArticleDOI
TL;DR: In this article , the identification of hysteresis parameters for two different models, operated in quasi-static and dynamic behaviors, was performed via standard Epstein frame on automotive parts for different magnetization levels and frequencies.
Abstract: This paper considers the identification of hysteresis parameters for two different hysteresis models, operated in quasi-static and dynamic behaviors. The extended Jiles-Atherton model via the Bertotti approach and the improved arctangent model are tested and compared. The hysteresis measurement was performed via standard Epstein frame on automotive parts for different magnetization levels and frequencies. The robustness of the Levenberg-Marquardt algorithm is assessed via a comparison of measured, modeled hysteresis loops, and relative permeability profiles, at various frequencies.

7 citations

Book
30 Jun 2002
TL;DR: Inverse (multiplicative) Inverse Function Inverse Square Function Linear Functions Logarithms Logistic Functions Matrices Perimeter Periodic Functions Plane Polar Coordinates Polynomial Functions Probability Proportions Pythagorean Theorem Quadratic Functions Quadrilaterals Rate Ratio Reflections Rotations Sequence Series Similarity Slope Square Roots Standard deviation step Functions Surface Area Symbolic Logic Symmetry Tangent Translations Triangle Trigonometry Variation Vectors Volume References Index
Abstract: Introduction Angle Asymptote Cartesian Coordinates Circles Circumference Complex Numbers Conic Sections Counting Derivative Equations Expected Value Exponential Decay Exponential Growth Fibonacci Sequence Imaginary Numbers Integration Inverse (Multiplicative) Inverse Function Inverse Square Function Linear Functions Logarithms Logistic Functions Matrices Perimeter Periodic Functions Plane Polar Coordinates Polynomial Functions Probability Proportions Pythagorean Theorem Quadratic Functions Quadrilaterals Rate Ratio Reflections Rotations Sequence Series Similarity Slope Square Roots Standard Deviation Step Functions Surface Area Symbolic Logic Symmetry Tangent Translations Triangle Trigonometry Variation Vectors Volume References Index

7 citations

Book
01 Jan 1984
TL;DR: In this paper, the authors introduce the notion of derivatives of algebraic functions, including trigonometric, logarithmic, and exponential functions, and apply them to algebraic problems.
Abstract: Numerical Computation. Introduction to Algebra. Simple Equations and Word Problems. Functions. Graphs. Geometry. Right Triangles and Vectors. Factors and Factoring. Fractions and Fractional Equations. Systems of Linear Equations. Determinants. Matrices. Exponents and Radicals. Quadratic Equations. Oblique Triangles and Vectors. Radian Measure, Arc Length, and Rotation. Graphs of the Trigonometric Functions. Trigonometric Identities and Equations. Ratio, Proportion, and Variation. Exponential and Logarithmic Functions. Complex Numbers. Analytic Geometry. Binary, Hexadecimal, Octal, and BCD Numbers. Inequalities and Linear Programming. Sequences, Series, and the Binomial Theorem. Introduction to Statistics and Probability. Derivatives of Algebraic Functions. Graphical Applications of the Derivative. More Applications of the Derivative. Integration. Applications of the Integral. More Applications of the Integral. Derivatives of Trigonometric, Logarithmic, and Exponential Functions. Methods of Integration. Differential Equations. Solving Differential Equations by the Laplace Transform and by Numerical Methods. Infinite Series. Appendices. Indexes.

7 citations


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Performance
Metrics
No. of papers in the topic in previous years
YearPapers
202335
202298
202134
202027
201918
201814