f(x)=1/2cos^2x-sinxcosx-1/2sin^2x (1)最小正周期 (2)对称轴方程 (3)单调区间
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f(x)=1/2cos^2x-sinxcosx-1/2sin^2x (1)最小正周期 (2)对称轴方程 (3)单调区间
f(x)=1/2cos^2x-sinxcosx-1/2sin^2x (1)最小正周期 (2)对称轴方程 (3)单调区间
f(x)=1/2cos^2x-sinxcosx-1/2sin^2x (1)最小正周期 (2)对称轴方程 (3)单调区间
f(x)=(1/2)(cos^2x-2sinxcosx-sin^2x)=(1/2)(cos^2x-sin^2x-2sinxcosx)=(1/2)(cos2x-sin2x)=(1/2)√2(√2/2*cos2x-√2/2*sin2x)=(1/2)√2[cos2xcos(π/4)-sin2xsin(π/4)]=(1/2)=√2cos(2x+π/4).
最小正周期为π.对称方程:x=kπ/2-π/8,k属于z.单调区间自己会算吧.我就不帮你算了.