List Of Trigonometric Identities
In mathematics, trigonometric identities are equalities that involve trigonometric functions and are true for every single value of the occurring variables. Geometrically, these are identities involving certain functions of one or more angles. They are distinct from triangle identities, which are identities involving both angles and side lengths of a triangle. Only the former are covered in this article.
These identities are useful whenever expressions involving trigonometric functions need to be simplified. An important application is the integration of non-trigonometric functions: a common technique involves first using the substitution rule with a trigonometric function, and then simplifying the resulting integral with a trigonometric identity.
Read more about List Of Trigonometric Identities: Inverse Functions, Pythagorean Identity, Historic Shorthands, Symmetry, Shifts, and Periodicity, Angle Sum and Difference Identities, Multiple-angle Formulae, Power-reduction Formula, Product-to-sum and Sum-to-product Identities, Linear Combinations, Lagrange's Trigonometric Identities, Other Sums of Trigonometric Functions, Certain Linear Fractional Transformations, Relation To The Complex Exponential Function, Infinite Product Formulae, Identities Without Variables, Composition of Trigonometric Functions, Calculus, Exponential Definitions
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—Polly Berrien Berends (20th century)