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15问答网 > 已知 f(x)=cos2x+根号3sin2x-1，求该函数的最小正周期，最大值和最小值

已知 f(x)=cos2x+根号3sin2x-1，求该函数的最小正周期，最大值和最小值

2025-04-04 01:17:32

推荐回答（1个）

回答1：

f(x)=2(cos2x/2+根号3sin2x/2)-1
=2(cos2x*cos60°+sin2x*sin60°)-1
=2cos(2x-60°）-1
所以T=2π/2=π
f最大=2-1=1
f最小=-2-1=-3

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