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Inverse Hyperbolic and Trigonometric Functions
2013The main focus of this chapter is to study the inverses of the quaternion trigonometric and hyperbolic functions, and their properties. Since the quaternion trigonometric and hyperbolic functions are defined in terms of the quaternion exponential function e p , it can be shown that their inverses are necessarily multi-valued and can be computed via the
Wolfgang Sprößig +2 more
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A CMOS inverse trigonometric function circuit
Proceedings of the 43rd IEEE Midwest Symposium on Circuits and Systems (Cat.No.CH37144), 2002This paper describes a new inverse trigonometric function generator implemented by using simple CMOS transconductors. The input range of these circuits is over /spl plusmn/1 V with a high linearity of less than 0.5%. The -3 dB bandwidth of all discussed circuits has been measured to over 10 MHz from 3.3 V supply using a 0.6 /spl mu/m CMOS process.
J.-J. Charlot, Jong-Kug Seon
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Integrals of inverse trigonometric and polylogarithmic functions
The Ramanujan Journal, 2020In this paper we study the representation of integrals whose integrand involves the product of a polylogarithm and an inverse or inverse hyperbolic trigonometric function. We further demonstrate many connections between these integrals and Euler sums.
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Teaching Inverse Trigonometric Functions
Mathematics Magazine, 1961(1961). Teaching Inverse Trigonometric Functions. Mathematics Magazine: Vol. 34, No. 5, pp. 281-282.
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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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A table of inverse trigonometric functions in radians
Terrestrial Magnetism and Atmospheric Electricity, 1935In the integration of numerous expressions, the results are expressible in the inverse trigonometric functions measured in radians. For three‐ or four‐place evaluations, the customary conversion‐formulas may be applied to tables using the sexagesimal system. For more than four places, the tables become bulky and inconvenient and the conversion tedious,
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Unit Circles and Inverse Trigonometric Functions
The Mathematics Teacher, 2014A method to determine all the inverse trigonometric functions directly from the unit circle.
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Remarks on the Inverse Trigonometric and Hyperbolic Functions of a Complex Variable
Mathematics Magazine, 1959w = arc sin z = i log [iz + \/1z 2 ]. This is as far as some texts carry the development of arc sin z. However, the above expression for arc sin z is not entirely satisfactory because: (a) VI_1_Z2 is not a well defined symbol and, (b) even if I1_Z2 were well defined, it is neither continuous nor analytic for all finite values of z.
L. Sjoblom, L. Pennisi
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Exploring Accessibility: An Application of Inverse Trigonometric Functions
The Mathematics Teacher, 2019Each school year, students enter our classrooms with unique experiences and perspectives that ought to be shared. One year, I noticed a student in our school who used a wheelchair. When I saw how difficult it was for that student to navigate the ramps in our school, I began to think about a trigonometry lesson focused on accessibility.
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A monolithic microsystem for analog synthesis of trigonometric functions and their inverses
IEEE Journal of Solid-State Circuits, 1982A bipolar monolithic microsystem is described which provides direct analog synthesis of all trigonometric functions and their inverses. The new technique is based on the ratio of two sines, generated by a novel sine-shaping network. The circuit offers high accuracy and 1.5 MHz bandwidth in an easily programmed 16-pin DIP.
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