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...

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...

study of trigonometric functions flourished in the Gupta period, especially due to Aryabhata (sixth century AD), who discovered the sine function, cosine...

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

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

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

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

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

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

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

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

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

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

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

the function chosen to be dv. An alternative to this rule is the ILATE rule, where inverse trigonometric functions come before logarithmic functions. To...

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

A periodic function is a function that repeats its values at regular intervals. For example, the trigonometric functions, which are used to describe waves...

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

word of دالة زائدية "hyperbolic function") is added to the end of trigonometric functions to express hyperbolic functions. This is similar to the way h...

root, and function composition to polynomial, exponential, logarithm, and trigonometric functions. They include inverse trigonometric functions, hyperbolic...

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

theorem Trigonometric function Trigonometry of a tetrahedron Triangle (also see List of triangle topics) Sine, Cosine, Tangent (trigonometric function), Cotangent...

and drastically speed up computation. Tables of logarithms and trigonometric functions were common in math and science textbooks, and specialized tables...

Polar/Trigonometric forms of hypercomplex numbers Polygonometry – trigonometric identities for multiple distinct angles The Lemniscate elliptic functions,...