cos(A+△A)=cosAcos△A-sinAsin△A
故dcosA/dA=lim(△A→0)(cosAcos△A-sinAsin△A-cosA)/△A
=lim(△A→0)(-cosA(sin△A/2)^2/△A-sinAsin△A/A)
=-sinA
看不懂就动手算算,电脑上打数学题真的是强人所难