definition of trigonometric identities

The concept of trigonometric identities is a concept that is used in the field of mathematics to refer to the variable trigonometric functions that can be found in a geometric figure. Trigonometry is the branch of mathematics that specializes in the analysis and study of triangles, especially in the shapes, meanings and values ​​of the different angles that may exist. The trigonometric identities will then be the result of those values ​​that are variable and very diverse from one to the other.

As with many elements of mathematics, the concepts have existed since ancient times when Greek philosophers had already established the notions of functions and values ​​of the angles of geometric figures. These concepts would be improved only in Modernity, in the seventeenth century when they were noted algebraically to be able to perform all kinds of calculations between the different angles.

Trigonometric identities can be broadly defined as all possible angle variables that can exist in a geometric figure. These identities are always represented from the Greek letters such as alpha, beta, omega, etc. Elements such as degrees centigrade are also used to establish the variables of each identity. The best known are those that are established between sine and cosine, sine and tangent, etc. Trigonometric identities are simplified forms that allow us to perform and know the different functions of trigonometry. All these questions of mathematics, more specifically of trigonometry, serve to organize the different calculations that must be carried out from the specific functions of each type of data. Trigonometric identities are highly variable and allow to have different possibilities to represent each trigonometric function (that is, the values) in varied and specific ways according to each case.