3sin^2x/2-2sinx/2cosx/2+cos^2x/2(分子)=2sin²x/2-sinx+1=2-cosx-sinx=9/5sinx+cosx=1/5两边平方,1+2sinxcosx=1/25sinxcosx=-12/25tanx+cotx(分母)=1/sinxcosx=-25/12∴原式=-108/125