Question

数学好的请进来

已知函数f(x)=2sin(x-π/4)*sin(x+π/4)+sin2x 则函数f(x)的最小周期是___
函数f(x)的对称轴方程是_____

Answer 1

f(x)=2sin(x-π/4)*sin(x+π/4)+sin2x =-2cos(π/2+x-π/4)*sin(x+π/4)+sin2x=sin2x-sin(2x+π/2)=sin2x-cos2x
会了吧！！所以为π