函数f(x)=(cosx)4次方-(sinx)4次方,求周期
人气:450 ℃ 时间:2019-08-18 03:32:39
解答
f(x)=cos⁴x-sin⁴x
=(cos²x+sin²x)(cos²x-sin²x)
=1×cos(2x)
=cos(2x)
最小正周期Tmin=2π/2=π.
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