THE 11 MOST PROMINENT TRIGONOMETRY APPLICATIONS - MATHS - 2024

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 prominent applications are shown in navigation, geography, astronomy, architecture and in all fields of engineering.

The use of trigonometry in science and in everyday life is due to the fact that precise measurements are obtained through it.

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 both for the study of geometry and for calculation and mathematical analysis.

The use of trigonometry in science 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 large calculations were necessary to carry out its constructions.

The 11 Applications of Trigonometry in Science and Everyday Life

1- Applications in astronomy

Trigonometry is used in astronomy to calculate the distance from planet Earth to the Sun, the Moon, the radius of the Earth, and also to measure the distance between planets.

To carry out these measurements they use triangulation, which consists of taking different points of what is to be measured and considering each one as vertices of triangles; from there the distance between one point and another is derived.

The Egyptians established the measure of 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 lacking. The creation of the plans and their subsequent execution depends on its use.

The creation of a house or a building must follow specific parameters. For example: each angle of all walls and columns must be measured in order to avoid any deformity that over time could cause the building to collapse.

A clear example of the use of trigonometry in architecture can be seen in the Egyptian pyramids and in the constructions made by the civilizations that inhabited the American continent before the arrival of the Spanish.

Due to the application of trigonometry, 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 the stars or any star that could serve as a reference point) had to be determined above the horizon.

Subsequently, mathematical calculations could be performed to determine the point where the observer is, that is, the person who is using the sextant.

Knowing two points on a coast or an island, the sextant could also be used to measure the distance the ships were from the coast.

The sextant was in charge of guiding the captains of the ships. At present the sextant has been replaced by satellite systems. These also make 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 longitude.

5- Applications in video games

Trigonometry is used for video game 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 survey 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 to establish connections and locate positions that favor the process of distribution of electrical energy.

9- Billiard applications

Trigonometry is applied in this board game. Based on the collision between the balls, it makes each one 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

Trigonometry is used to measure the trajectory of an object. For example: when you want to make an aerial pass in a soccer game, you need to find an angle and have a well-defined point where it is going.

Taking into account all these points, 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 be able to read electrocardiograms, a test that graphically records the electrical activity of the heart as a function of time.

Sine and cosine functions appear in these studies. According to how they appear, they are given a letter that gives meaning to the wave. This allows doctors to read it and make a timely diagnosis.

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