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数学
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函数F(x)=(sin2x-cos2x)平方的最小正周期及最大值分别是什么
人气:365 ℃ 时间:2019-10-29 21:03:31
解答
F(x)=(sin2x-cos2x)²
=(sin2x)²-2sin2xcos2x+(cos2x)²
=1-2sin2xcos2x
=1-sin(4x)
最小正周期为 2π/4=π/2
最大值为 1-(-1)=2
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