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【高中数学题】【在线等】【必采纳】已知函数f(x)=cos(2x-5π/3)+2sin(x-π/4)sin(x+π/4)
(1)求函数的最小正周期和对称轴方程
(2)求函数f(x)在区间[-π/12,π/2]值域
人气:334 ℃ 时间:2020-04-07 19:43:00
解答
f(x)=cos(2x-5π/3)+2sin(x-π/4)sin(x+π/4)=cos(2x-2π/3-π)+cosπ/2-cos2x 积化和差公式:sinαsinβ=[-cos(α+β)+cos(α-β)]/2=-cos(2x-2π/3)-cos2x=sin2xsin2π/3-cos2xcos2π/3-cos2x=(...
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