mathematics, the trigonometric functions (also called circular functions, angle functions or goniometric functions) are real functions which relate an...

and cosecant functions, and are used to obtain an angle from any of the angle's trigonometric ratios. Inverse trigonometric functions are widely used...

tables of values for trigonometric ratios (also called trigonometric functions) such as sine. Throughout history, trigonometry has been applied in areas...

In mathematics, sine and cosine are trigonometric functions of an angle. The sine and cosine of an acute angle are defined in the context of a right triangle:...

The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change...

In trigonometry, trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for...

during the 2nd millennium BC. Trigonometry was also prevalent in Kushite mathematics. Systematic study of trigonometric functions began in Hellenistic mathematics...

integrals (antiderivative functions) of trigonometric functions. For antiderivatives involving both exponential and trigonometric functions, see List of integrals...

application of trigonometric tables and generation schemes is for fast Fourier transform (FFT) algorithms, where the same trigonometric function values (called...

periodic function into a sum of trigonometric functions. The Fourier series is an example of a trigonometric series. By expressing a function as a sum...

In mathematics, hyperbolic functions are analogues of the ordinary trigonometric functions, but defined using the hyperbola rather than the circle. Just...

the inverse trigonometric functions. For a complete list of integral formulas, see lists of integrals. The inverse trigonometric functions are also known...

In mathematics, trigonometric integrals are a family of nonelementary integrals involving trigonometric functions. The different sine integral definitions...

In mathematics, a trigonometric substitution replaces a trigonometric function for another expression. In calculus, trigonometric substitutions are a...

periods. The repeatable part of the function or waveform is called a cycle. For example, the trigonometric functions, which repeat at intervals of 2 π {\displaystyle...

Fourier series and Fourier transforms rely heavily on knowledge of trigonometric functions and find application in a number of areas, including statistics...

The trigonometric functions (especially sine and cosine) for complex square matrices occur in solutions of second-order systems of differential equations...

traditionally expressed using trigonometric functions. On the sphere, geodesics are great circles. Spherical trigonometry is of great importance for calculations...

compositions of finitely many polynomial, rational, trigonometric, hyperbolic, and exponential functions, and their inverses (e.g., arcsin or log), as well...

and mathematics suggest that he found the Taylor series for the trigonometric functions of sine, cosine, and arctangent (see Madhava series). During the...

Commons has media related to Chord (geometry). History of Trigonometry Outline Trigonometric functions Archived 2017-03-10 at the Wayback Machine, focusing...

versine or versed sine is a trigonometric function found in some of the earliest (Sanskrit Aryabhatia, Section I) trigonometric tables. The versine of an...

inverse function, which is a real function with domain f(I) and image I. This is how inverse trigonometric functions are defined in terms of trigonometric functions...

circle, as shown at right. Using the unit circle, the values of any trigonometric function for many angles other than those labeled can be easily calculated...

Commonly, the basic functions that are allowed in closed forms are nth root, exponential function, logarithm, and trigonometric functions. However, the set...

In mathematics, the values of the trigonometric functions can be expressed approximately, as in cos ⁡ ( π / 4 ) ≈ 0.707 {\displaystyle \cos(\pi /4)\approx...

Hyperbolic functions – Collective name of 6 mathematical functions Inverse hyperbolic functions – Mathematical functions Inverse trigonometric functions – Inverse...

Goodrich (1909). "Article 14: Inverse trigonometric functions". Written at Ann Arbor, Michigan, USA. Plane Trigonometry. New York: Henry Holt & Company. pp...

trigonometric identities or integration by parts, and is sufficiently powerful to integrate any rational expression involving trigonometric functions...

electronic elliptic filters. While trigonometric functions are defined with reference to a circle, the Jacobi elliptic functions are a generalization which refer...