f(x)=cos^2wx+√3sinwx*coswx
=(1+cos2wx)/2+√3/2sin2wx
=√3/2sin2wx+1/2cos2wx+1/2
=sin(2wx+π/6)+1/2
最小正周期为π
最小正周期=2π/2w=π w=1
f(x)=sin(2x+π/6)+1/2
(1)f(π/3)=sin(2π/3+π/6)+1/2=sin5π/6+1/2=1
(2)增区间
2kπ-π/2
f(x)=cos^2wx+√3sinwx*coswx
=(1+cos2wx)/2+√3/2sin2wx
=√3/2sin2wx+1/2cos2wx+1/2
=sin(2wx+π/6)+1/2
最小正周期为π
最小正周期=2π/2w=π w=1
f(x)=sin(2x+π/6)+1/2
(1)f(π/3)=sin(2π/3+π/6)+1/2=sin5π/6+1/2=1
(2)增区间
2kπ-π/2