证明f(x)=log1/2(sinx-cosx)的最小正周期为（2派）?

证明f(x)=log1/2(sinx-cosx)的最小正周期为（2派）?
证明f(x)=log1/2(sinx-cosx)的最小正周期为（2派）?

证明f(x)=log1/2(sinx-cosx)的最小正周期为（2派）?
f(x)=log1/2(sinx-cosx)
=log1/2(sqrt(2)sin(x-4/派))
可以得
f(x+2派)=log1/2(sqrt(2)sin(x+2派-4/派))
=log1/2(sqrt(2)sin(x-4/派))
=f(x)