y=cosπx*cos(πx-π/3)+sin^2πx的周期、单调区间、值域

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y=cosπx*cos(πx-π/3)+sin^2πx的周期、单调区间、值域

y=cosπx*cos(πx-π/3)+sin^2πx的周期、单调区间、值域
y=cosπx*cos(πx-π/3)+sin^2πx的周期、单调区间、值域

y=cosπx*cos(πx-π/3)+sin^2πx的周期、单调区间、值域
y=cosπx*cos(πx-π/3)+sin^2πx
=[cos(πx+πx-π/3)+cos(πx-πx+π/3)]/2+sin^2πx
=cos(2πx)/4+sin(2πx)*√3/4+1/4+sin^2πx
=cos(2πx)/4+sin(2πx)*√3/4+1/4+(1-cos2πx)/2
=[cos(2πx+2π/3)]/2+5/4
下面的会算吧