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. Keep it handy while you’re revising the concept, especially before an exam.Trigonometry is one of the most intriguing branches of mathematics. This one page PDF covers summarised theory and the most important formulas related to the concept.
It deals with many relations between the sides and the angles of a triangle. A cheat sheet on Properties of Triangles is also available on this website. This can be extended to any other type of triangle, by bisecting them to create two right-angled triangles. Trigonometry is generally introduced with right-angled triangles. It also finds applications in diverse fields such as physics, engineering, music, astronomy, ecology, and biology. Trigonometry is widely used in both pure and applied mathematics.
The word “trigonometry” is derived from Greek words trigōnon meaning “triangle” and metron meaning “measure”. Trigonometry is a branch of mathematics that studies relationships between the sides and the angles of a triangle. This cheat sheet covers the high school math concept – Trigonometric Identities.
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