设x∈[π/4,π/3],f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4),求f(x)的最大值和最小值答案是最小值是-√3/8-1/4,最大值-√3/8

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设x∈[π/4,π/3],f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4),求f(x)的最大值和最小值答案是最小值是-√3/8-1/4,最大值-√3/8

设x∈[π/4,π/3],f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4),求f(x)的最大值和最小值答案是最小值是-√3/8-1/4,最大值-√3/8
设x∈[π/4,π/3],f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4),求f(x)的最大值和最小值
答案是最小值是-√3/8-1/4,最大值-√3/8

设x∈[π/4,π/3],f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4),求f(x)的最大值和最小值答案是最小值是-√3/8-1/4,最大值-√3/8
f(x)=1/4(sin^2x-cos^2x-√3/2)+√3/2sin^2(x-π/4)
=1/4(-cos2x-√3/2)+√3/2(1-cos(2x-π/2))/2
=-√3/4sin2x-1/4cos2x+√3/8
=-1/2sin(2x+π/6)+√3/8
π/4