 Prior to this, Roger Cotes had computed the derivative of sine in his "Harmonia Mensurarum" (1722).Also in the 18th century, Brook Taylor defined the general Taylor series and gave the series expansions and approximations for all six trigonometric functions.The works of James Gregory in the 17th century and Colin Maclaurin in the 18th century were also very influential in the development of trigonometric series.