f(x)=2√3sinxcosx+cos^4 x-sin^4 x=√3sin2x+cos2x=2cos(2x-π/3)
f(x)=f(x+π),最小正周期为π
单调增区间[kπ-π/3,kπ+π/6]
y=f(x),x∈[0,π/2]的值域[-1,2]
f(x)=2√3sinxcosx+cos^4 x-sin^4 x=√3sin2x+cos2x=2cos(2x-π/3)
f(x)=f(x+π),最小正周期为π
单调增区间[kπ-π/3,kπ+π/6]
y=f(x),x∈[0,π/2]的值域[-1,2]