证明f(x)=log1/2(sinx-cosx)的最小正周期为（2派）?

来源：学生作业学帮网编辑：学帮网时间：2024/05/20 03:06:36

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)