y=sinx为什么y的导数=cosx=sin(x+π/2).
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y=sinx为什么y的导数=cosx=sin(x+π/2).
![y=sinx为什么y的导数=cosx=sin(x+π/2).](/uploads/image/z/15251396-68-6.jpg?t=y%3Dsinx%E4%B8%BA%E4%BB%80%E4%B9%88y%E7%9A%84%E5%AF%BC%E6%95%B0%3Dcosx%3Dsin%28x%2B%CF%80%2F2%29.)
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)
=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)