There are various applications of trigonometry in science and in everyday life. One of the most notable examples of this is in mathematics, since it intervenes in all its fields.
Other of its most outstanding applications are shown in navigation, geography, astronomy, architecture and in all fields of engineering.
The use of trigonometry in the sciences and in everyday life is due to the fact that precise measurements are obtained.
The measurements are obtained by studying the relationships between the sides of the triangles with respect to the angles.
For this it is necessary to apply the trigonometric functions: sine, cosine, tangent, cotangent, secant and cosecant.
Trigonometry is the branch of mathematics that is necessary for the geometric study as well as for the calculation and the mathematical analysis.
The use of trigonometry in the sciences and in everyday life dates back to approximately 4000 BC. C.
According to historical data, the use of trigonometry began in Babylon and Egypt, since it was necessary to perform large calculations to make their constructions.
The 11 applications of trigonometry in science and in everyday life
1- Applications in astronomy
Trigonometry is used in astronomy to calculate the distance from planet Earth to the Sun, to the Moon, the radius of the Earth and also to measure the distance between the planets.
To make these measurements, they use triangulation, which consists of taking different points of what one wants to measure and considering each one as vertices of triangles; from there the distance between one point and another is drawn.
The Egyptians established the measure of the angles in degrees, minutes and seconds, and used it in astronomy.
2- Applications in architecture
The application of trigonometry in architecture is something that should never be missed. The creation of the plans and their subsequent execution depends on their use.
The creation of a house or a building must follow specific parameters. For example: each angle of all the walls and columns should be measured in order to avoid any deformity that could cause the building to collapse over time.
A clear example of the use of trigonometry in architecture is observed in the Egyptian pyramids and in the constructions made by the civilizations that inhabited the American continent before the arrival of the Spaniards.
Due to the application of trigonometry is that these constructions remain almost intact with the passage of time.
3- Applications in navigation
Trigonometry was used in navigation for many years and for this they created what is now known as a sextant, an instrument with which distance could be measured by triangulating with the Sun or the stars.
The sextant was used in the following way: the angular height of the Sun (or of the stars or of any star that could serve as a point of reference) must be determined above the horizon.
Later mathematical calculations could be made to determine the point at which the observer is, that is, the person who is using the sextant.
Knowing two points of a coast or an island, the sextant could also be used to measure the distance in which the ships of the coast were located.
The sextant was in charge of guiding the captains of the ships. Currently the sextant has been replaced by satellite systems. These also use the use of trigonometry.
4- Applications in geography
In geography, trigonometry is used to calculate distances on a map; that is, it uses parallels and meridians to calculate the length.
5- Applications in videogames
Trigonometry is used for videogame programming. Therefore, everything that is presented on the screen requires trigonometry.
6- Applications in civil engineering
An example of the use of trigonometry in civil engineering is observed through the construction of bridges, roads, buildings and in the layout of land, among others.
7- Applications in mechanical engineering
Trigonometry is used in mechanical engineering for the design and measurement of parts in series. It is also used to project forces.
8- Applications in electronic engineering
Trigonometry is used in electronic engineering to identify the behavior of series and signals.
Trigonometry helps establish connections and locate positions that favor the process of distribution of electrical energy.
9- Applications in the pool
Trigonometry is applied in this board game. Based on the clash between the balls, it causes each of them to go in a particular direction creating specific angles.
These angles are used by each player to determine what their next move will be.
10- Applications in physics
To measure the trajectory of an object, trigonometry is used. For example: when a football match wants to make an air pass, it is necessary to look for an angle and have a well defined point where it is aimed.
Taking all these points into account, the trajectory of the ball can be calculated. This can also be applied to measure the trajectory of a projectile, a rocket, among other elements.
11- Applications in medicine
Trigonometry is applied in medicine to read electrocardiograms, an examination that graphically records the electrical activity of the heart as a function of time.
In these studies appear functions of the breast and cosine. According to how they appear, they are given a letter that gives meaning to the wave. This allows doctors to read it and give a timely diagnosis.
References
- Real life applicati, ons of trigonometry. Retrieved on November 24, 2017, from embibe.com
- Applications of Trigonometry. Retrieved on November 24, 2017, from clarku.edu
- What Are some Real-Life Applications of Trigonometry? Retrieved on November 24, 2017, from sciencing.com
- Applications of Trigonometry. Retrieved on November 24, 2017, from byjus.com
- Trigonometry uses and importance in our Daily Life. Retrieved on November 24, 2017, from techsling.com
- 10 Everyday Reasons why trigonometry is important in your life? Retrieved on November 24, 2017, from mathworksheetscenter.com
- Applications of Trigonometry in Real Life. Retrieved on November 24, 2017, from malini-math.blogspot.com