Applications of Trigonometry
Trigonometry has so many applications in the real world, we can even say that is the most used mathematics concept throughout mathematics. Some of the applications of trigonometry are as follows:
- Trigonometry is very essential for modern-day navigation systems such as GPS or any other similar system.
- In most streams of engineering, trigonometry is used extensively for various kinds of analysis and calculations, which helps engineers to make more sound decisions for the construction of various kinds of structures.
- Various trigonometric concepts and formulas are used in the computer graphics of the modern age, as computer graphics are created in 3-D environments, so all the calculations are done by the graphics processing unit of the computer to deliver the computer graphics as output.
- Various astronomical calculations such as the radius of celestial bodies, the distance between objects, etc. involve the use of trigonometry and its different trigonometric ratios.
- In Physics, we use trigonometry to understand and evaluate many real-world systems such as the orbits of planets and artificial satellites, the reflection or refraction of light in various environments, etc.
Trigonometry in Maths: Table, Formulas, Identities and Ratios
Trigonometry is a branch of mathematics that explores the relationships between the ratios of the sides of a right-angled triangle and its angles. The fundamental ratios used to study these relationships are known as trigonometric ratios, which include sine, cosine, tangent, cotangent, secant, and cosecant.
The term “trigonometry” is a 16th-century Latin derivative and the concept was given by the Greek mathematician Hipparchus. Trigonometry word is formed from ancient Greek words “trigonon” and “metron” which mean triangle and measure respectively, thus collectively called Trigonometry which means measures of a triangle.
The most important topics in trigonometry are trigonometry table, trigonometry formulas, trigonometric identities, and trigonometric ratios. In this article, we will see the basics of trigonometry, including its fundamental identities and formulas.
Table of Content
- Introduction to Trigonometry
- What is Trigonometry?
- Trigonometry Definition
- Trigonometry Basics
- All Trigonometry Functions
- Even and Odd Trigonometric Functions
- Odd Trigonometric Functions
- Even Trigonometric Functions
- Trigonometric Ratios
- Trigonometry Angles
- Trigonometry Chart
- Trigonometry Table
- How to Remember Trigonometry Table?
- Applications of Trigonometry
- Trigonometry Formulas
- 1. Pythagorean Trigonometric Identities
- 2. Sum and Difference Identities
- 3. Double angle Identities
- 4. Half Angle Identities
- 5. Product Sum Identities
- 6. Product Identities
- 7. Triple Angle Identities
- Unit Circle
- Trigonometry Identities
- Euler’s Formula for Trigonometry
- Trigonometry Real-Life Examples
- Trigonometry Solved Examples
- Practice Problems on Trigonometry
- Trigonometry Class 10 PDF
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