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...

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

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

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:...

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

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

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

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

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

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

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

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

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...

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

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...

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

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

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

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...

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...

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

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

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

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

functions, and the trigonometric functions. Equations over these expressions are called transcendental equations. Formally, an analytic function f {\displaystyle...

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