(1) f(x)=cos(wx)^2+根3sin(wx)cos(wx)=(cos(2wx)+1)/2+(根3sin(2wx))/坦告2=cos(2wx)/2+(根3sin(2wx))/宽肢2+1/2=sin(2wx+30度)+1/2 又f(x)的周期是2π,w=1/2,f(x)=sin(x+30度)+1/2 单增区间:[-2/3pai,pai/让巧明3](2) 就是2w*π/6+π/6=π/2+kπ w=1+3k,w=1