Showing papers on "Inverse trigonometric functions published in 1987"
TL;DR: The trigonometric functions did not enter calculus until about 1739 as mentioned in this paper, and no textbook until 1748 dealt with the calculus of these functions, and no calculus texts written in England and the continent during the first half of the 18th century was there a treatment of the derivative and integral of the sine or cosine or any discussion of the periodicity or addition properties of the functions.
35 citations
TL;DR: In this article, the authors give examples of trigonometric series with slowly decreasing coefficients which sum to zero almost everywhere, where the coefficients of the series are linear in the number of vertices.
Abstract: We give examples of trigonometric series with slowly decreasing coefficients which sum to zero almost everywhere.
22 citations
Patent•
26 Nov 1987
TL;DR: In this article, a switch-capacitor-based circuit for generating trigonometric function values (cos x1, sin x 1, arccos x 1 and arctg x 1) is proposed.
Abstract: Electronic circuits for generating trigonometric function values (cos x1, sin x1) and inverse function values (arcsin x1, arccos x1, arctg x1) on the basis of the switch-capacitor technique are proposed and elaborated in order to produce circuits which can be integrated without problems. A function value (B1cos( pi x1/b)) is taken from the cosine voltage (V1 = Acos( omega t)) of a harmonic oscillator (1) when the input signal (x1) and a triangular voltage (VT) synchronous with the cosine voltage (V1) match.
1 citations
TL;DR: The frequency of a sinusoidal signal is measured within a small fraction of a cycle by carrying out computations on two successive samples of the input signal using hardware implementation of Taylor series.
Abstract: The frequency of a sinusoidal signal is measured within a small fraction of a cycle. This is accomplished by carrying out computations on two successive samples of the input signal. An inverse sine function is computed using hardware implementation of Taylor series. The output may be in two forms, as analogue and as digital. Linear and digital ICs have been used in this circuit.