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

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

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

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

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...

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...

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

operations of addition, multiplication, division, nth root, and function composition to polynomial, exponential, logarithm, and trigonometric functions. They...

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...

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

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

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

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

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

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

of congruence Differentiation of trigonometric functions Exact trigonometric constants History of trigonometry Inverse trigonometric functions Law of...

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

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

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

functions of the cumulants. Chain rule – For derivatives of composed functions Differentiation of trigonometric functions – Mathematical process of finding...

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...

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...

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

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

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

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

There are several equivalent ways for defining trigonometric functions, and the proofs of the trigonometric identities between them depend on the chosen...