# Trigonometric Functions Essay

Application of Trigonometry in Real Life Situation Mathematics is a subject that is vital for gaining a better perspective on events that occur in the natural world an in real life situation. A keen aptitude for math improves critical thinking and promotes problem-solving abilities. One specific area of mathematical and geometrical reasoning is trigonometry which studies the properties of triangles.

In some of the fields such as architecture, astronomy , biology, cartography, chemistry, civil engineering, computer graphics, geophysics, crystallography and economics , some things in these fields cannot be understood without trigonometry. These proved that trigonometry really is needed in our real life situation. Trigonometry finds a perfect partner in modern architecture. It is really needed in architecture fields, without trigonometry architecture is hard to understand.

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The beautifully curved surfaces in steel, stone and glass would be impossible if not for the immense potential of this science. So how does this work actually. In fact the flat panels and straight planes in the building are but at an angle to one another and the illusion is that of a curved surface. Although it is unlikely that one will ever need to directly apply a trigonometric function in solving a practical issue, the fundamental background of the science finds usage in an area which is passion for many is music.

As we may be aware sound travels in waves and this pattern though not as regular as a sine or cosine function, is still useful in developing computer music. A computer cannot obviously listen to and comprehend music as we do, so computers represent it mathematically by its constituent sound waves. And this means that sound engineers and technologists who research advances in computer music and even hi-tech music composers have to relate to the basic laws of trigonometry. Besides that, trigonometry is an arty science that can be used to measure the heights of mountains.

We want to measure the heights of mountains, because this information is of great value for aircraft designing and navigation. And if this sounds overly technical think about the time when we last took a vacation at a hill station. We might be surprised how much this information comes in handy to tourists, for example those with medical conditions that prevent them from traveling to very high altitudes. So the nest time you want to go trekking you might want to know the actual altitude you might be traversing.

Other than that, digital imaging is another real life application of this marvelous trigonometry. Computer generation of complex imagery is made possible by the use of geometrical patterns that define the precise location and color of each of the infinite points on the image to be created. The image is made detailed and accurate by a technique referred to as triangulation. The edges of the triangles that form the image make a wire frame of the object to be created and contribute to a realistic picture.

Several imaging technologies that apply the concepts of trigonometry find usage in medicine. Medical techniques such as CAT and MRI scanning, in detecting tumors and even in laser treatments are the practical applications of sine and cosine functions. Lastly and the most useful of trigonometry is application of trigonometry is astronomy. The kind of trigonometry needed to understand positions on a sphere is called spherical trigonometry. Spherical trigonometry is rarely taught now since its job has been taken over by linear algebra.

Most mathematicians who studied astronomy created or used trigonometry in some form to perform their calculations. The creation of trigonometry took nearly a thousand years, and it was being developed and expanded before anyone even recognized it as a subject worth studying. Although much of the work done in these times was not entirely accurate, the concepts that came out of their research are indispensable and are still with us today. Without the study of trigonometry, little would have been accomplished in the fields of navigation, land measure, mensuration, and surveying.

In addition, Trigonometric tables were created over two thousand years ago for computations in astronomy. The stars were thought to be fixed on a crystal sphere of great size, and that model was perfect for practical purposes. Only the planets moved on the sphere. (At the time there were seven recognized planets: Mercury, Venus, Mars, Jupiter, Saturn, the moon, and the sun. Those are the planets that we name our days of the week after. The earth wasn’t yet considered to be a planet since it was the center of the universe, and the outer planets weren’t discovered then. )

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