Differentiation of the trigonometric functions

To be able to differentiate the trigonometric functions one needs some standard limits:

With the aid of these and the definition of the derivative

it is possible to show that

f(x)= sin (x) implies  f ‘(x) = cos(x)

and

f(x) = cos(x) implies f ‘(x) = -sin (x).

Annonser

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