函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性

函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性
函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性

函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性
f(x)=1/2*(1-cos(2x+pi/2))-1/2*(1-cos(2x-pi))
=1/2*(sin2x+sin2x)
=sin2x
所以周期=pi,为奇函数