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已知函数f(x)=sin^2x+2√3sin(x+π/4)cos(x-π/4求答案.,
已知函数f(x)=sin^2x+2√3sin(x+π/4)cos(x-π/4)-cos^x-√3.⑴求函数f(x)的最小正周期和单调递减区间⑵求f(x)在(-π/12,5π/12]上的值域·
人气:138 ℃ 时间:2019-08-19 17:47:41
解答
f(x)=(sinx)^2+2√3sin(x+π/4)cos(x-π/4)-(cosx)^2-√3=2√3[sin(x+π/4)]^2-cos2x-√3=√3[1-cos(2x+π/2)]-cos2x-√3=√3sin2x-cos2x=2sin(2x-π/6),(1)f(x)的最小正周期=π.递减区间由(2k+1/2)π...
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