1.f(x)=1/2cos2x+√3/2sin2x+cos^2 x-sin^2 x=3/2cos2x+√3/2sin2x=√3sin(2x+π/3)
2.x属于【-π/12,π/2】,所以2x+π/3属于【π/6,4π/3】,.所以f(x)在此区间上最小等于-1/2,最大等于√3.所以m大于-1/2,小于√3.
1.f(x)=1/2cos2x+√3/2sin2x+cos^2 x-sin^2 x=3/2cos2x+√3/2sin2x=√3sin(2x+π/3)
2.x属于【-π/12,π/2】,所以2x+π/3属于【π/6,4π/3】,.所以f(x)在此区间上最小等于-1/2,最大等于√3.所以m大于-1/2,小于√3.