已知函数fx=sinx四次幂+2倍根号三sinxcosx-cosx的四次幂,求函数fx的最小正周期和最小值以及fx的单调区间

y=sin^4(x)+2√3(sinxcosx)-cos^4(x) =sin^4(x)-cos^4(x)+2√3sinxcosx =(sin^2x+cos^2x)(sin^2x-cos^2x)+2√3(sinxcosx) =2√3(sinxcosx)-cos2x =√3sin2x-cos2x =2sin(2x-π/6)最小正周期T=2π/2=π最小值是：2*（...