trigonometric identities formulas and examples

Furthermore, each side of the right angle triangle has a name: Trigonometry BasicsĪ right-angle triangle is a special triangle in which one angle is 90° and the other two are less than 90°. Applications of this branch of mathematics are found in engineering, astronomy, physics and architectural design. In simple words, it is the study of relationships that deal with angles, lengths and heights of triangles and relations between different parts of circles and other geometrical figures. This knowledge transferred to the Latin West during Renaissance and from there it moved on to the West, where great mathematicians like Isaac Newton and Leonhard Euler laid the foundation for modern trigonometry.The word ‘Trigonometry’ comes from the Greek terms ‘ trigōnon’ for ‘triangle’ and ‘ metron’ for ‘measure’. As we moved into the Middle Ages, Arab mathematicians like Al-Khwarizmi added further to our understanding of this field. Later on, Indian mathematicians like Aryabhata I contributed further by giving the first table of sines in trigonometry. However, the roots of modern trigonometry can be traced back to the Greeks, with Hipparchus credited with creating the first table for trigonometric functions. The study of triangles dates back to the 2nd millennium, found in the Babylonian and Egyptian mathematical records.

Here, we delve into the history, trigonometric functions, calculations, and applications of trigonometry, in addition to solving some problems associated with it. It deals with the relationships between the angles and sides of a right-angled triangle, and the applications of these in calculating heights and distances. Trigonometry is one of the most intriguing branches of mathematics.

Trigonometric identities formulas and examples