1.证明 cos(α-π/2)=sinα sin(α-π/2)=﹣sinα

问题描述:

1.证明 cos(α-π/2)=sinα sin(α-π/2)=﹣sinα
cos(α-π/2)=sinα
sin(α-π/2)=﹣sinα

cos(α-π/2)=cosαcosπ/2+sinαsinπ/2 =sinα (cosπ/2=0,sinπ/2=1)
sin(α-π/2)=sinαcosπ/2-sinπ/2cosα=-cosα