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In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was an important area of study, which led to the development of the first mechanical computing devices.

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  • Trigonometric tables
  • جداول مثلثية
  • Construction des tables trigonométriques
  • Tavola trigonometrica
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  • في الرياضيات، جداول قيم الدوال المثلثية مفيذة في عدة مجالات.
  • In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was an important area of study, which led to the development of the first mechanical computing devices.
  • Les tables de fonctions trigonométriques sont utiles dans beaucoup de domaines. Avant l'existence des calculatrices de poche, les tables trigonométriques étaient essentielles pour la navigation, dans les sciences et dans la technologie.La réalisation de tables de valeurs approchées des fonctions représentait un domaine d'étude important, et mena au développement des premiers dispositifs de calcul mécaniques.
  • In matematica la tavola trigonometrica è una tabella che elenca il valore di una funzione trigonometrica per un certo numero di possibili valori angolari. Una tavola trigonometrica è principalmente caratterizzata da due aspetti: * dettaglio: indica la differenza tra due angoli consecutivi di cui la tabella riporta i valori; maggiore è il dettaglio, minore è la differenza; * precisione: indica con quale approssimazione sono arrotondati i valori della funzione trigonometrica riportati nella tavola.
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  • In mathematics, tables of trigonometric functions are useful in a number of areas. Before the existence of pocket calculators, trigonometric tables were essential for navigation, science and engineering. The calculation of mathematical tables was an important area of study, which led to the development of the first mechanical computing devices. Modern computers and pocket calculators now generate trigonometric function values on demand, using special libraries of mathematical code. Often, these libraries use pre-calculated tables internally, and compute the required value by using an appropriate interpolation method. Interpolation of simple look-up tables of trigonometric functions is still used in computer graphics, where only modest accuracy may be required and speed is often paramount. Another important application of trigonometric tables and generation schemes is for fast Fourier transform (FFT) algorithms, where the same trigonometric function values (called twiddle factors) must be evaluated many times in a given transform, especially in the common case where many transforms of the same size are computed. In this case, calling generic library routines every time is unacceptably slow. One option is to call the library routines once, to build up a table of those trigonometric values that will be needed, but this requires significant memory to store the table. The other possibility, since a regular sequence of values is required, is to use a recurrence formula to compute the trigonometric values on the fly. Significant research has been devoted to finding accurate, stable recurrence schemes in order to preserve the accuracy of the FFT (which is very sensitive to trigonometric errors).
  • في الرياضيات، جداول قيم الدوال المثلثية مفيذة في عدة مجالات.
  • Les tables de fonctions trigonométriques sont utiles dans beaucoup de domaines. Avant l'existence des calculatrices de poche, les tables trigonométriques étaient essentielles pour la navigation, dans les sciences et dans la technologie.La réalisation de tables de valeurs approchées des fonctions représentait un domaine d'étude important, et mena au développement des premiers dispositifs de calcul mécaniques. Les ordinateurs modernes et les calculatrices de poche génèrent maintenant les valeurs des fonctions trigonométriques à la demande, en utilisant des bibliothèques de code mathématique. Souvent, ces bibliothèques utilisent des tables internes calculées d'avance, et la valeur requise est obtenue en utilisant une méthode d'interpolation appropriée. Des tables trigonométriques simples sont maintenant souvent utilisées en infographie, où en général des valeurs précises ne sont pas nécessaires et les calculs doivent être effectués très rapidement.
  • In matematica la tavola trigonometrica è una tabella che elenca il valore di una funzione trigonometrica per un certo numero di possibili valori angolari. Una tavola trigonometrica è principalmente caratterizzata da due aspetti: * dettaglio: indica la differenza tra due angoli consecutivi di cui la tabella riporta i valori; maggiore è il dettaglio, minore è la differenza; * precisione: indica con quale approssimazione sono arrotondati i valori della funzione trigonometrica riportati nella tavola. Il dettaglio può non essere costante per meglio mappare funzioni che abbiano asintoti verticali o orizzontali, che implicano significative variazioni del valore delle funzione in prossimità di alcuni valori angolari.
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