f(x)=cos^2x+(1/2)sin2x.f(x)=(1+cos2x)/2+(1/2)sin2x .=(1/2)(sin2x+cos2x)+1/2.∴f(x)=(1/2)√2sin(2x+π/4)+1/2.若sinα=3/5,α∈(π/2,π),则 f(α/2+π/24)=?f(α/2+π/24)=(√2/2)sin[2(α/2+π/24)]+1/2.=(√...