f(x)=(1+sinx)/(2+cosx)的值域为??
解析:
y=(1+sinx)/(2+cosx)
2y+ycosx=1+sinx
sinx-ycosx=2y-1
√(1+y²)sin(x+φ)=2y-1
sin(x+φ)=(2y-1)/√(1+y²)
|(2y-1)/√(1+y²)|≥1
解得值域