0:00
Welcome, Math students! In this exciting video, we are going to explore how trigonometry is applied in our daily life. You will be surprised to discover the many situations in which trigonometric functions come into play. So let's dive into the fascinating world of trigonometry. One of the oldest applications of trigonometry is in maritime navigation.
0:27
Sailors use trigonometric functions such as the sine and the cosine to calculate the position of a ship in the ocean. Thanks to trigonometry, sailors can determine their latitude and longitude and draw precise routes. Although currently the ships are located thanks to advanced global positioning systems, these would not be possible without trigonometry.
0:53
Did you know that trigonometry was used in the famous expedition of Christopher Columbus in 1492? The sailors used trigonometric calculations to determine the location of the new discovered lands. Trigonometry is also fundamental in architecture and construction. Architects use trigonometric functions to calculate the dimensions of a building, ensuring that the structures are stable and safe.
1:25
In addition, trigonometry allows calculating the inclinations and slopes of roofs, stairs and bridges. Thanks to trigonometry, engineers calculate heights and distances that are not physically possible to obtain such as the height of towers, bridges or buildings before they are built. Did you know that the famous Arc de Triomphe in Paris was designed using trigonometric principles?
1:53
The shape and height of the arc were calculated using the trigonometric functions sine and cosine. Trigonometry plays an essential role in astronomy and space navigation. Astronomers use trigonometric functions to measure astronomical distances, such as the distance between stars and planets.
2:15
In addition, space engineers use trigonometry to calculate the trajectories and positions of space ships. This is very important since celestial bodies move all the time at high speeds. For this reason, precision is a factor of life or death and this is only possible thanks to trigonometry.
2:39
Did you know that the Voyager 1 space probe launched in 1977 uses trigonometric calculations for its navigation? The probe has explored interstellar space and is based on trigonometry to adjust its trajectory. Do you like to play video games? Well, trigonometry is behind the impressive 3D graphics you see in many games.
3:05
Game designers use trigonometric functions to calculate the positions and directions of objects in virtual space, which creates realistic effects and fluid movements. Did you know that the famous Angry Birds video game franchise uses trigonometric calculations to calculate the trajectories of the birds launched? In the field of sound engineering and music, trigonometry is key to understanding waves and frequencies.
3:36
Sound engineers use trigonometric functions to adjust the equalization and create sound effects. In addition, in music, trigonometry is essential to understand the tones, chords and harmonic progressions. Did you know that tones and musical notes can be mathematically represented through trigonometric functions such as sinusoidal waves? This allows you to generate pure sounds and create pleasant melodies.
4:08
Trigonometry is also applied in everyday life when we need to measure inaccessible heights or distances. For example, if you want to determine the height of a building or a tree, you can use trigonometry. By measuring the distance from a reference point and the angle of inclination towards the upper part of the object, you can calculate its height using trigonometric functions.
4:35
Did you know that the famous Empire State in New York was measured using trigonometry? After being built, the engineers used angles and trigonometric functions to calculate its height of approximately 443 meters. This was very important at the time since this building occupies the first place as the tallest in the world at the time.
4:59
If you liked this video, subscribe, like, share and see you in the next video.
