求函数最小正周期解答过程,题:cos^2(x+pai/4)-sin^2(x+pai/4)

问题描述:

求函数最小正周期解答过程,题:cos^2(x+pai/4)-sin^2(x+pai/4)
y=cos^2(x+pai/4)-sin^2(x+pai/4)

y=cos^2(x+π4)-sin^2(x+π/4)
= cos{2(x+π/4)}
=cos(2x+π/2)
最小正周期=2π/2=π最小正周期=2π/2=π 何解?不明白公式啊!y=Asin(wx+θ)的最小正周期=2π/w