1.由题条件得sinx-cosx=7/5,(cosx)^2-(sinx)^2=7/25,(cosx-sinx)(cosx+sinx)=7/25,cosx+sinx=1/5,得sinx=4/5;cosx=-3/5,tanx=-4/3,tan(x+派/3)=[tanx+sqrt(3)/3]/[1-sqrt(3)/3tanx]=[3(sqrt(3)-4]/[9+4sqrt(3)] 2.派...