Paragraph 1, In the beginning trigonometry started of in these job branches Navigation, surveying, and astronomy. In all of these job aspects, proper distance between things needed to be determined. Such as the distance between the earth and the moon, or for distances that can be measured directly, or the distance from one continent to another. In all of this trigonometry was applied. Today most trigonometry is still applied in the same places , only with chemistry, physics, and at least all branches of engineering.

Paragraph 2, some of the greatest mathematicians are quoted for there superior workings in trigonometry. As for the word trigonometry it appeared in a book Trigonometria Published by Bartholomeo Pitiscus in the year of 1595. Another mathematician Thales of Miletus used shadow lengths to calculate the heights of the pyramids in around 600 BC. Aryabhata the Elder, was a Hindu mathematician who gave tables of half chords, known by the term jya-ardha or simply jya. Hipparchus was known to produce the first known table of chords in 140 BC. Hipparchus's work was further extended by Menelaus and Ptolemy who used Babylonian observations and traditions.

Paragraph 3, How trigonometry is applied today in our world. Trigonometry is applied by big corporate companies all over the world, for instance a architectural company might need to know the distance from a hill to a road turn, or a engineer might need to know the velocity when a plane lands, a marine biologist might need to know the mass or circumference around a certain whale or fish, all of these factors include trigonometry. Without it big corporate companies have flaws in calculations which create problems in there system, Microsoft uses trigonometry to scale out certain program patterns and recognitions, UPS or FedEx might need to calculate how far a destination is away from them, but in the end all of which are involved in using Trigonometry.

For my conclusion, I would like to say that Trigonometry Has a very old history dating back before Jesus Christ, all of which is applied in today's world, from corporate companies, to small businesses trig is used in almost everything whether intentional or not. But if it wasn't for the efforts of the mathematicians Menelaus, Ptolemy, Hipparchus, and Thales of Miletus some of the methods to evaluate stuff and calculate stuff would not be possible , this is the history of trigonometry.