f(x)=(1-cos2x)(1/2)+(√3)/2sin2x+1/2=(√3)/2sin2x-(1/2)cos2x+1=sin(2x-π/6)+1f(x)的最小正周期:T=π在2kπ-π/2<2x-π/6<2kπ+π/2上是增函数,即在(kπ-π/6,kπ+π/3)上是增函数,同理,可计算出,在(kπ+π/3,kπ+5π/6)上是减函数.(kπ-π/6,kπ+π/3) (k∈Z)是递增区间,(kπ+π/3,kπ+5π/6) (k∈Z)是递减区间。