α是第四象限角,cos(α-75°)<0所以可知 α-75°在第三象限,所以 sin(α-75°)= -2√2/3sin(105°+α)=sin[α-75°+180°]=-sin(α-75°)=2√2/3
sin(105°+α)=sin[180°-(105°+α)]=sin(α-75°)=-2√3/3