Trigonometry simply refers to calculations with triangles (the tri comes from here). It studies the relationships in the field of mathematics that involve heights, angles and lengths of different triangles. This field emerged in the third century BC. Its emergence came from geometry application to astronomical studies. The applications of trigonometry spreads across various fields like by engineers, crime scene investigators, physicists, astronauts, surveyors and architects.
The first development of trigonometry was in connection with astronomy with its applications in construction of calendars and navigation. This took place around 2000 years ago. Trigonometry is established upon geometry which is much older. However, trigonometry origin traces back to the civilization of the ancient Egypt.
Trigonometry may not have direct applications in the solving of practical issues, but it finds application in different fields. For example, in music. It is known that sound travels in waves and even though the pattern is not regular like the cosine and sine functions, it is still useful as far as the development of computer music is concerned. A computer cannot listen to or comprehend music as humans do, so, the computer represents it mathematically. This therefore means that, sound engineers are required to know the basics of trigonometry.
Trigonometry can also be used in the measurement of height of mountains or a building. Given the distance from the building to the point of observation and the elevation angle, finding the building height is very easy. Similarly, given the value of one of the sides as well as the angle of depression from the building’s top, you can find the distance from the building. Generally, all you need to know is an angle as well as the length of one of the side.
Trigonometry in video games. The gaming industry involves IT and computers and therefore, trigonometry is of very great importance to the engineers in the gaming industry.
Trigonometry in construction. The following are some of the areas that the calculations of trigonometry are needed:
Architects also apply trigonometry to determine structural load, ground surfaces, roof slopes and many more aspects such as light angles and sun shading.
Trigonometry in flight engineering. Flight engineers have to consider the speed, direction and distance as well as the direction and speed of the wind. A plane can be straight and level in the air, climbing or descending.
Trigonometry in physics. In physics, trigonometry is applied to find the components’ vectors, modelling the mechanics of waves (both electromagnetic and physical) and oscillations. Even in the motion of projectiles there are many applications of trigonometry.
Trigonometry in archaeology. Trigonometry is also applied in the division of excavation sites into work areas. Archaeologists identify different tools that are used by the civilization. The use of trigonometry helps them in excavations.
Trigonometry in marine engineering. In marine engineering, trigonometry is applied in the building and navigation of marine vessels. More specifically, trigonometry is applied in the design of marine ramp.
Other uses of trigonometry include:
