设该角为x得到sin^3(x)+cos^3(x)=(sinx+cosx)[sin^2(x)-sinxcosx+cos^2(x)]再由[sin^2(x)+cos^2(x)]^2=[sin^4(x)+cos^4(x)+2(sinxcosx)^2]=1求出(sinxcosx)^2的值即可再对sin^3(x)+cos^3(x)=(sinx+cosx)[sin^2(x)-si...