The calculus of the trigonometric functions / Victor J. Katz.
Abstract:
'In none of the dozen or so calculus texts written in England and the continent during the first half of the 18th century was there a treatment of [the calculus] of sine or cosine...This contrasts sharply with what occurred in the case of the exponential and logarithmic functions. We attempt here to explain why the trigonometric functions did not enter calculus until about 1739. In that year, however, Leonhard Euler invented this calculus.'
Historia mathematica Vol. 14 (1987), p. 311-324