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 (also called circular functions, angle functions or goniometric functions) are real functions which relate an angle of a right-angled...

trigonometric functions (occasionally also called antitrigonometric, cyclometric, or arcus functions) are the inverse functions of the trigonometric functions...

see lists of integrals. The inverse trigonometric functions are also known as the "arc functions". C is used for the arbitrary constant of integration...

Branch of mathematics Chain rule – For derivatives of composed functions Differentiation of trigonometric functions – Mathematical process of finding...

finding the derivative of a trigonometric function Differentiation rules – Rules for computing derivatives of functions Distribution (mathematics) –...

of differentiation rules, that is, rules for computing the derivative of a function in calculus. Unless otherwise stated, all functions are functions...

derivatives of composed functions Difference quotient – Expression in calculus Differentiation of integrals – Problem in mathematics Differentiation rules –...

writings of his followers in the Kerala school of astronomy and mathematics suggest that he found the Taylor series for the trigonometric functions of sine...

value) is the y {\displaystyle y} direction (see Differentiation of trigonometric functions). The algorithm always takes a step in the positive y {\displaystyle...

versions of the inverse function theorem for holomorphic functions, for differentiable maps between manifolds, for differentiable functions between Banach spaces...

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: for the...

(see the article on inverse functions and differentiation). The inverse function theorem can be generalized to functions of several variables. Specifically...

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

called implicit differentiation makes use of the chain rule to differentiate implicitly defined functions. To differentiate an implicit function y(x), defined...

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

δ)-definition of limit Continuous function Derivative Notation Newton's notation for differentiation Leibniz's notation for differentiation Simplest rules...

to the trigonometric functions. Inverse hyperbolic functions: inverses of the hyperbolic functions, analogous to the inverse circular functions. Logarithms:...

and p-norm. While trigonometry deals with the relationships between angles and lengths in the plane using trigonometric functions defined relative to...

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

exponential functions, logarithm, trigonometric functions and inverse trigonometric functions, and the operations of multiplication and composition. The...

derivative of sine. In the 14th century, Indian mathematicians gave a non-rigorous method, resembling differentiation, applicable to some trigonometric functions...

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

in complex analysis. Holomorphic functions are also sometimes referred to as regular functions. A holomorphic function whose domain is the whole complex...

representations closely relate as the definite integral of trigonometric functions with product of its power and multiple-angle: ∫ 0 π sin x − 1 ⁡ θ sin...

Differentiation of integrals – Problem in mathematics Differentiation of trigonometric functions – Mathematical process of finding the derivative of a...

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

§ A smooth function which is nowhere real analytic. Most elementary functions, including the exponential function, the trigonometric functions, and all...

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

following is a list of integrals (antiderivative functions) of logarithmic functions. For a complete list of integral functions, see list of integrals. Note:...