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...

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

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

Babylonian mathematics. Trigonometry was also prevalent in Kushite mathematics. Systematic study of trigonometric functions began in Hellenistic mathematics...

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

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:...

functions. For a complete list of antiderivative functions, see Lists of integrals. For the special antiderivatives involving trigonometric functions...

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

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...

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

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

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

polynomials, exponential function ex, and the trigonometric functions sine and cosine, are examples of entire functions. Examples of functions that are not entire...

Pythagorean trigonometric identity, also called simply the Pythagorean identity, is an identity expressing the Pythagorean theorem in terms of trigonometric functions...

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

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

integrals, which converts a rational function of trigonometric functions of x {\textstyle x} into an ordinary rational function of t {\textstyle t} by setting...

functions List of integrals of irrational functions List of integrals of trigonometric functions List of integrals of inverse trigonometric functions...

rules for computing the derivative of a function in calculus. Unless otherwise stated, all functions are functions of real numbers ( R {\textstyle \mathbb...

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

involving trigonometric functions. Using Euler's formula, any trigonometric function may be written in terms of complex exponential functions, namely e...

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

In trigonometry, it is common to use mnemonics to help remember trigonometric identities and the relationships between the various trigonometric functions...

functions produce meaningful values for any real-valued angle measure – even those greater than 2π. In fact, all six standard trigonometric functions –...

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

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...

defining the logarithm, the exponential and the trigonometric functions of a complex number. Functions whose domain are the nonnegative integers, known...

analytic. Most elementary functions, including the exponential function, the trigonometric functions, and all polynomial functions, extended appropriately...