Differentiation of Trigonometric Functions

The differentiation of trigonometric functions is the process of finding the derivative of a trigonometric function, meaning its rate of change with respect to its variable; for example the derivative of sine at a point a is written sin'(a) = cos(a), so the rate of change of sin(x) at x = a is given by the cosine of a. Every derivative of the ordinary circular trigonometric functions can be obtained from the derivatives of sine and cosine themselves, for instance by applying the quotient rule to tan(x) = sin(x)/cos(x), and the derivatives of the inverse trigonometric functions are then found in turn through implicit differentiation. This description is adapted from Wikipedia contributors under CC BY-SA 4.0; changes were made. https://creativecommons.org/licenses/by-sa/4.0/