函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性
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![函数f(x)=sin²(x+π/4)-sin²(x-π/4)的周期和奇偶性](/uploads/image/z/5932171-19-1.jpg?t=%E5%87%BD%E6%95%B0f%28x%29%3Dsin%26%23178%3B%28x%2B%CF%80%2F4%29-sin%26%23178%3B%28x-%CF%80%2F4%29%E7%9A%84%E5%91%A8%E6%9C%9F%E5%92%8C%E5%A5%87%E5%81%B6%E6%80%A7)
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