解cos(75+a)=cos[90-(15-a)]=1/3sin(15-a)=1/3sin[-(a-15)]=-sin(a-15)=1/3∴sin(a-15)=-1/3sin(a-15)+cos(105-a)=sin(a-15)+cos(90+15-a)=sin(a-15)-sin(15-a)=-1/3-1/3=-2/3