Trigonometri pi kaç

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Trigonometri pi kaç

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Trigonometri pi kaç

In particular, the trigonometric functions relate the angles of a right triangle with ratios of its side lengths. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. Throughout history, trigonometry has been applied in areas such as geodesy , surveying , celestial mechanics , and navigation. Trigonometry is known for its many identities. These trigonometric identities [5] are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation. Sumerian astronomers studied angle measure, using a division of circles into degrees. The ancient Nubians used a similar method. In the 3rd century BC, Hellenistic mathematicians such as Euclid and Archimedes studied the properties of chords and inscribed angles in circles, and they proved theorems that are equivalent to modern trigonometric formulae, although they presented them geometrically rather than algebraically. In BC, Hipparchus from Nicaea , Asia Minor gave the first tables of chords, analogous to modern tables of sine values , and used them to solve problems in trigonometry and spherical trigonometry. Centuries passed before more detailed tables were produced, and Ptolemy's treatise remained in use for performing trigonometric calculations in astronomy throughout the next years in the medieval Byzantine , Islamic , and, later, Western European worlds.

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