题目内容：

函数y=根号下3*sinxcosx+cos^2x的周期为?增区间为?值域为?

优质解答

y=√3*sinxcosx+cos^2x=√3/2sin2x+(1+cos2x)/1=√3/2sin2x+1/2*cos2x+1/2=sin(2x+π/6)+1/2周期 T=2π/2=π2Kπ-π/2≤2x+π/6 ≤2Kπ+π/2,K∈zKπ-π/3≤x ≤Kπ+π/6,K∈z增区间为[ Kπ-π/3,Kπ+π/6]K∈z值域...