Wednesday, October 1, 2008

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Historians agree that it was the Greeks before Socrates initiators of trigonometry. Thales of Miletus, one of the Seven Sages of Greece, is credited with the discovery five geometric theorems and their participation in the determination of the heights of the pyramids of Egypt using the relationship between angles and sides of a triangle. Hipparchus, Greek astronomer and mathematician notable, systematized these concepts in a table of trigonometric chords that are now the basis of modern trigonometry. For his work is considered the father or founder of trigonometry.
is considered to Hipparchus (180-125 BC) as the father of trigonometry mainly for his discovery of some of the relationships between sides and angles of a triangle. Also contributing to the consolidation of trigonometry Claudius Ptolemy and Aristarchus of Samos who applied it in his astronomical studies. In 1600, professor of mathematics at Heidelberg (the oldest university in Germany) Pitiscus Bartholomew (1561-1613), published a text with the title of trigonometry, which develops methods for solving triangles. The French mathematician François Viète (1540-1603) made important contributions to finding multiple angle trigonometric formulas. Trigonometric calculations received a boost thanks to the Scottish mathematician John Napier (1550-1617), who invented logarithms in the early seventeenth century. In the eighteenth century, the mathematician Swiss Leonhard Euler (1707-1783) made a science of trigonometry in addition to astronomy, to turn it into a new branch of mathematics. Originally
, trigonometry is the science whose object is the numerical (algebraic) of the triangles. The six key elements in any triangle are its three sides and three angles. When you know three of these elements, provided that at least one being the one hand, teaches trigonometry to solve the triangle, that is, to find the other three elements. In this state of trigonometry defined the trigonometric functions (sine, cosine, tangent, etc.) Of an acute angle in a triangle rectangle, as the ratios between two sides of the triangle, the domain of definition of these functions is the set of values \u200b\u200bthat can take the angle [0, 180].
HOWEVER, the study of trigonometry does not limit its application to the triangles, geometry, navigation, surveying, astronomy, but also for the mathematical treatment in the study of wave motion, vibration, sound, alternating current, thermodynamic atomic research, etc.. To achieve this, we must broaden the concept of a function trigonometric function of a real variable, rather than simply a function of angles.

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