Question

(1+sinx-cosx)/(1+sinx+cosx）化简过程,

Answer 1

----(1+sinx-cosx)/(1+sinx+cosx) = [(1-cosx)+sinx]/[(1+cosx)+sinx] = {2*[sin(x/2)]^2+2sin(x/2)cos(x/2)}/{2*[cos(x/2)]^2+2sin(x/2)cos(x/2)} = sin(x/2)/cos(x/2) = tan(x/2)