f(x)=sin×*sin(x+π/2)-√3cos2(3π+x)+√3/2 =sin×*sin(π/2-x)-√3cos2x+√3/2 =sin×cosx-√3cos2x+√3/2 =1/2sin2x-√3cos2x+√3/2 =sin(2x-π/3)++√3/2
最小正周期T=2π/2=π
对称周方程2x-π/3=2kπ+π
得x=kπ+2π/3其它代入求解就可以了
f(x)=sin×*sin(x+π/2)-√3cos2(3π+x)+√3/2 =sin×*sin(π/2-x)-√3cos2x+√3/2 =sin×cosx-√3cos2x+√3/2 =1/2sin2x-√3cos2x+√3/2 =sin(2x-π/3)++√3/2
最小正周期T=2π/2=π
对称周方程2x-π/3=2kπ+π
得x=kπ+2π/3其它代入求解就可以了