y=sinx为什么y的导数=cosx=sin(x+π/2).

问题描述:

y=sinx为什么y的导数=cosx=sin(x+π/2).

cosx=sin(x+π/2) 因为 sin(A+B)= sinAcosB+cosAsinB
=sin(x)cos(π/2)+cos(x)sin(π/2) ,因为cos(π/2)=0 和 sin(π/2)=1
=0+cos(x)
=cos(x)