Differentiation of trigonometric functions information
Mathematical process of finding the derivative of a trigonometric function
Trigonometry
Outline
History
Usage
Functions (sin, cos, tan, inverse)
Generalized trigonometry
Reference
Identities
Exact constants
Tables
Unit circle
Laws and theorems
Sines
Cosines
Tangents
Cotangents
Pythagorean theorem
Calculus
Trigonometric substitution
Integrals (inverse functions)
Derivatives
Trigonometric series
Mathematicians
Hipparchus
Ptolemy
Brahmagupta
al-Hasib
al-Battani
Regiomontanus
Viète
de Moivre
Euler
Fourier
v
t
e
Function
Derivative
The differentiation of trigonometric functions is the mathematical process of finding the derivative of a trigonometric function, or its rate of change with respect to a variable. For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle.
All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as tan(x) = sin(x)/cos(x). Knowing these derivatives, the derivatives of the inverse trigonometric functions are found using implicit differentiation.
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value) is the y {\displaystyle y} direction (see Differentiation of trigonometricfunctions). The algorithm always takes a step in the positive y {\displaystyle...
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the design of electronic elliptic filters. While trigonometricfunctions are defined with reference to a circle, the Jacobi elliptic functions are a generalization...
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