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·
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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·](/uploads/image/z/2494812-12-2.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dsin%5E2x%2B2%E2%88%9A3sin%EF%BC%88x%2B%CF%80%2F4%EF%BC%89cos%28x-%CF%80%2F4%E6%B1%82%E7%AD%94%E6%A1%88.%2C%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3Dsin%5E2x%2B2%E2%88%9A3sin%EF%BC%88x%2B%CF%80%2F4%EF%BC%89cos%28x-%CF%80%2F4%29-cos%5Ex-%E2%88%9A3.%E2%91%B4%E6%B1%82%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%E7%9A%84%E6%9C%80%E5%B0%8F%E6%AD%A3%E5%91%A8%E6%9C%9F%E5%92%8C%E5%8D%95%E8%B0%83%E9%80%92%E5%87%8F%E5%8C%BA%E9%97%B4%E2%91%B5%E6%B1%82f%EF%BC%88x%EF%BC%89%E5%9C%A8%EF%BC%88-%CF%80%2F12%2C5%CF%80%2F12%5D%E4%B8%8A%E7%9A%84%E5%80%BC%E5%9F%9F%C2%B7)
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·
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·
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·
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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