函数f(x)=sin(2x-π/4)-2根号2(sinx)^2的最小正周期是
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函数f(x)=sin(2x-π/4)-2根号2(sinx)^2的最小正周期是
函数f(x)=sin(2x-π/4)-2根号2(sinx)^2的最小正周期是
函数f(x)=sin(2x-π/4)-2根号2(sinx)^2的最小正周期是
f(x)=sin(2x-π/4)-2√2sin²x
=sin2xcosπ/4-cos2xsinπ/4-√2(1-cos2x)
=√2/2 sin2x- √2/2 cos2x +√2cos2x-√2
=√2/2 sin2x+√2/2 cos2x-√2
=sin(2x+π/4)-√2
∴最小正周期是2π/2=π
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