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.

Double-channel optical grating displacement measurement method

Abstract: The invention relates to the technical field of high-accuracy displacement measurement, in particular to a double-channel optical grating displacement measurement method. A traditional sub-wavelengthdouble-layer optical grating structure is changed to realize double-channel optical grating displacement sensing of which the difference of two phase positions is 90 degrees, and arc tangent can be combined to realize wide-range whole-range high-accuracy displacement measurement with consistent sensitivity. Since the method can obtain an optical grating structure that the light intensity of one channel is a sine trigonometric function along with displacement, the light intensity of the other channel is a cosine trigonometric function along with displacement and an optical grating constant d isof a sub-wavelength level, a high-power subdivision technology is combined, and therefore, detection of high displacement sensitivity can be realized.

89.70 A trigonometric intersection

Abstract: cotA(cot£> + cot/?) + cotB(cot/?+ cotP) + cotC(cotP+ cotQ) > 2 with equality if, and only if, P = A, Q = B, R = C. We first demonstrate the simpler result cotA + cotB + cotC > V5 ([1]), observing that the three cotangents for a single triangle ABC are governed as follows: (i) only one cotangent may be negative, (ii) the sum of two cotangents is positive, (iii) since cotZ?cotC + cot C cot A + cotAcotB = 1, the three cotangents are dependent. We have

Electronic system for synthesising 3d surfaces

Abstract: The present invention relates to an electronic system that makes it possible to synthesise virtual 3D surfaces. Said system has a modular structure in which each module is made up of a set of mathematical operators. Said operators are used to implement an analytic expression that represents an implicit equation. The points that form the 3D surface to be synthesised are actually the solution points of said implicit equation. The operators implemented in said system make it possible to calculate polynomials with real exponents, direct trigonometric functions and inverse trigonometric functions. A very precise combination of all said operators has made it possible to synthesise a large variety of relatively complex 3D surfaces with the option of parametrising the deformations thereof.

Length calculation and determination device, angle calculation and determination device and image determination system

Abstract: A calculation section performs a simplified calculation to obtain lengths and/or angles using calculations of addition and multiplication, without using calculations of division, square root and inverse trigonometric function that impose heavy load to the hardware. A data storage section stores reference length data and reference angle data in a data format that is appropriate for the simplified calculation.

An Improved 3D Location Algorithm Model Research Based on Directional TD-MUSIC

Abstract: In this paper, a TD-MUSIC spectrum estimation model based on directional antenna is proposed The model contains three directional antenna arrays with uniform line, by which the TD-MUSIC spectrum peak was calculated and analyzed The linear relationship between the amplitude of the signal source and the pitch angle was calculated by inverse trigonometric function The simulation results show that the pitch angle estimation of the signal source can be obtained by the improved 3D localization algorithm model fast and accurate