Application Of Trigonometry: Real-Life Example And Theories

Application Of Trigonometry: Real-Life Example And Theories

Trigonometry is the branch of mathematics that analyses and studies the ratio between the sides and angles of a right-angled triangle. Trigonometric ratios such as sine, cose, tangent, cotangent, cosecant, and secant are used in this study. Trigonometry is a vast concept; since ancient times, it has helped explorers navigate the stars and other real-life applications.

You may think trigonometry only works in the classroom and is rarely used outside the classroom. But that’s not true. If you look at things closely, you’ll find that we use trigonometry in our day-to-day lifestyle. Today we’ll help identify trigonometry's history and how it is used in real life. To understand trigonometry more refer to trigonometric identities for reference.

Basics of Trigonometry The measurement of angles is covered under the basics of trigonometry. The basics of trigonometry contain three main ratios, which help derivate all the other ratios: sine, cose, and tangent. The foundation of trigonometry is based on these ratios only:

Sin Cos Tan Cot Sec Cosec

Real-Life Examples Here, we’ll explore all the real-life examples of applications of trigonometry to help you realize how trigonometry is used not only in the classroom but also in our day-to-day life.

1. Sound waves- A sound wave, as in the musical theory, trigonometry can be used in the writing and making of music as well. Writing a note or making a chord sine or cose can be used for a single note. Graphical representation helps the waves to generate a comprehended sound.

2. Astronomy- People always wanted to solve the solar system's mystery and explore the universe. While making the rockets go into space, trigonometry helps them find the distance between the earth and the moon. Now, NASA Scientists use it to build

spacecraft. It wouldn’t be wrong if we say without trigonometry, we could not go to the moon.

3- Navigation- It is also helpful in navigation. Moving in any direction, you need the compass the trigonometry to ensure the direction and the distance. In the ancient era, explorers always used the stars and trigonometry to reach any destination.

4. Aviation- Aviation technology has changed significantly with time. It takes the account of the speed, distance, and direction of the wind as well. The trigonometric evaluation of the speed of the wind is necessary for the traveling of a flight.

5. Video Games- I think most of you have played video games like Mario in your life. If you remember, in the video game he easily runs over the roadblocks and jumps without looking in the direction. It all happens because of trigonometry only. It assumes the distance and the direction of the jump and helps to solve all the hurdles you face during the game.

6. Marine Biology- Marine biologists often use trigonometry to find out the distance between the celestial bodies. They also use the mathematical model to understand the nature and the behavior of the sea animals.

7. Crime Investigation- Crime detectives and forensic scientists use trigonometry to find out the happening at the crime scene. It helps to analyze the blood spatter, direction and the distance of the gunshot, and many more things. If you want to strengthen your basics you can analyze NCERT Solutions for Class 10.

Conclusion Trigonometry is the branch of mathematics that helps to analyze the study of the ratio and the angles of the right-angled triangle. You can do many more things with the help of trigonometry. Not only in astronomy or marine biology but also you can measure the heights of the building, go into medical imaging, and in the industry of manufacturing. So, we hope now you can understand the importance of trigonometry. Keep up your preparation and study well.

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FAQ Q1. How is trigonometry used in construction?

Ans- Trigonometry is used in making and cutting out the plots, taking measurements of the ground surface, roof inclination, and other things.

Q2. Do archeologist use trigonometry?

Ans- Yes, they do use trigonometry. Every person uses trigonometry in different ways according to their work. Some use it to find the direction, some for the production of the sound, and archeologist uses trigonometry for finding out the items of the civilization.

Q3. What are the 9 occupations that use trigonometry?

Ans- The occupations that use trigonometry are: ● Marine Biology ● Astronomy ● Video games ● Construction ● Aviation ● Sound Waves ● Navigation ● Crime Investigation ● Manufacturing Industry

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