1,f(x)=cos(2x-π/3)+2sin^2 x (1)求最小正周期及对称轴方程,

1,f(x)=cos(2x-π/3)+2sin^2 x (1)求最小正周期及对称轴方程,
1,f(x)=cos(2x-π/3)+2sin^2 x (1)求最小正周期及对称轴方程,

1,f(x)=cos(2x-π/3)+2sin^2 x (1)求最小正周期及对称轴方程,
f(x)=cos(2x-π/3)+2sin^2 x
=cos2xcosπ/3+sin2xsinπ/3+1-cos2x
=1/2cos2x+sin2xsinπ/3+1-cos2x
=-1/2cos2x+sin2xsin(π-2π/3)+1
=cos2π/3cos2x+sin2xsin2π/3+1
=cos(2x-2π/3)+1
所以最小正周期是π,
对称轴方程是x=π/3