(1)
f(x)=cosωx*coswx+根号3sinwx*cosx
=1/2cos2wx+1/2+根号3/2*sin2wx-1/2
=sin(2wx+π/6)
一条对称轴为π/6所以:
2w*π/6+π/6=π/2 + kπ(k属于整数0