为什么sin(x+y) - sinx = 2cos(x+y/2)siny/2

问题描述:

为什么sin(x+y) - sinx = 2cos(x+y/2)siny/2

x+y=x+y/2+y/2x=x+y/2-y/2sin(x+y)=sin(x+y/2+y/2)=sin(x+y/2)cosy/2+cos(x+y/2)siny/2sinx=sin(x+y/2)cosy/2-cos(x+y/2)siny/2所以sin(x+y) - sinx =sin(x+y/2)cosy/2+cos(x+y/2)siny/2-[sin(x+y/2)cosy/2-cos(x+y...