函数f(x)=sin(2x-TT\4)-2根号2sinx^2的最小正周期是

函数f(x)=sin(2x-TT\4)-2根号2sinx^2的最小正周期是
函数f(x)=sin(2x-TT\4)-2根号2sinx^2的最小正周期是

函数f(x)=sin(2x-TT\4)-2根号2sinx^2的最小正周期是
思路：利用二倍角公式和积化和差公式.
y=sin(2x-π/4)-2√2(sinx)
=(√2/ 2)sin2x -(√2/ 2)cos2x -2√2(1- cos2x )/2
=(√2/ 2)sin2x +(√2/ 2)cos2x -√2
=sin(2x+π/4)-√2
所以最小正周期=2π/2=π