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 can exist. The trigonometric identities will be, then, the results of those values that are variable and very different from one another.
As with many elements of mathematics, the concepts have existed since ancient times in which the Greek philosophers had already established the notions of functions and values of the angles of geometric figures. These concepts would only be improved in Modernity, in the 17th century when they were noted in an algebraic way to be able to carry out all kinds of calculations between the different angles.
Trigonometric identities can be defined in general terms 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 Celsius 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 performing and knowing 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. The trigonometric identities are very 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.
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