证明:sin(α/2) *(1+cosα)=sinα*cos(α/2)

问题描述:

证明:sin(α/2) *(1+cosα)=sinα*cos(α/2)
RT

证明:
sin(a/2)*(1+cosa)
=sin(a/2)*[2cos²(a/2)]
=2sin(a/2)*cos(a/2)*cos(a/2)
=sina*cos(a/2)
命题得证