(1)当m=0时,f(x)=(1+cotx)sin²x =sin²x+sinxcosx=[1-cos(2x)]/2+sin(2x)/2=1/2-sin(2x-π/4)/√2∵x∈[π/8,3π/4] ∴2x-π/4∈[0,5π/4] ∴sin(2x-π/4)∈[0,1]∴f(x)∈[(1-√2)/2,1/2](2)f(α)=(1+cotα...