式=sinα+cosα+1÷(sinαcosα)+(sinα+cosα)÷(sinαcosα),因为1+(sinα+cosα)^2=2+2sinαcosα所以令t=sinα+cosα,代入原式化简得,-2)U(-2:原式=(t-1)+2÷(t-1)+1,t在区间(-√2-1,0)U(0