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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