Conclusion
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles. Analytic trigonometry, on the other hand, is the application of algebraic and geometric techniques to solve trigonometric problems. In this article, we will explore the definition, meaning, and origin of analytic trigonometry.
Definitions
Analytic trigonometry is the study of trigonometric functions using algebraic and geometric techniques. It involves the use of complex numbers, vectors, and matrices to solve trigonometric problems. Analytic trigonometry is also known as trigonometric analysis.
Origin
Analytic trigonometry has its roots in the work of French mathematician and physicist Jean-Baptiste Fourier in the early 19th century. Fourier used trigonometric functions to represent periodic functions, and his work laid the foundation for the development of Fourier analysis, which is a branch of mathematics that deals with the decomposition of a function into a sum of sine and cosine functions.
Meaning in different dictionaries
According to Merriam-Webster, analytic trigonometry is “the branch of mathematics dealing with the application of algebraic and geometric methods to the study of trigonometric functions.”
The Oxford English Dictionary defines analytic trigonometry as “the branch of mathematics concerned with the application of algebraic and geometric methods to the study of the properties of trigonometric functions.”
Associations
Analytic trigonometry is closely associated with other branches of mathematics, such as calculus, complex analysis, and linear algebra. It is also used in physics, engineering, and other sciences to solve problems involving periodic functions.
Synonyms
Synonyms of analytic trigonometry include trigonometric analysis, trigonometric functions, and trigonometry.
Antonyms
There are no direct antonyms of analytic trigonometry, but it can be contrasted with other branches of mathematics that deal with trigonometric functions, such as geometric trigonometry.
The same root words
The root words of analytic trigonometry are “analytic” and “trigonometry.” Analytic refers to the use of algebraic and geometric techniques to solve problems, while trigonometry is the study of the relationships between the sides and angles of triangles.
Example Sentences
- Analytic trigonometry is used to solve problems involving periodic functions.
- Fourier analysis is a branch of mathematics that is closely related to analytic trigonometry.
- The study of trigonometric functions using algebraic and geometric methods is known as analytic trigonometry.
Analytic trigonometry is a branch of mathematics that deals with the application of algebraic and geometric techniques to solve problems involving trigonometric functions. It has its roots in the work of Jean-Baptiste Fourier and is closely associated with other branches of mathematics, such as calculus and linear algebra. Analytic trigonometry is used in a wide range of fields, including physics, engineering, and other sciences.