已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1求f(x)最小正周期和单调递增区间.若f(a)=2.a属于[派/4,派/2]求a值
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![已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1求f(x)最小正周期和单调递增区间.若f(a)=2.a属于[派/4,派/2]求a值](/uploads/image/z/1171427-59-7.jpg?t=%E5%B7%B2%E7%9F%A5%E5%87%BD%E6%95%B0f%28x%29%3Dcos%5E2x-sin%5E2x%2B2%E6%A0%B9%E5%8F%B73sinxcosx%2B1%E6%B1%82f%28x%29%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%A2%9E%E5%8C%BA%E9%97%B4.%E8%8B%A5f%EF%BC%88a%EF%BC%89%3D2.a%E5%B1%9E%E4%BA%8E%5B%E6%B4%BE%2F4%2C%E6%B4%BE%2F2%5D%E6%B1%82a%E5%80%BC)
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已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1求f(x)最小正周期和单调递增区间.若f(a)=2.a属于[派/4,派/2]求a值
已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1
求f(x)最小正周期和单调递增区间.若f(a)=2.a属于[派/4,派/2]求a值
已知函数f(x)=cos^2x-sin^2x+2根号3sinxcosx+1求f(x)最小正周期和单调递增区间.若f(a)=2.a属于[派/4,派/2]求a值
f(x)=cos^2x-sin^2x+2(根号3)sinxcosx+1
=cos2x+(根号3)sin2x+1
=2{(1/2)cos2x+[(根号3)/2]sin2x}+1
=2sin(2x+派/6)+1,
T=2派/2=派
递增区间[K派-派/3,K派+派/6]
2sin(2a+派/6)+1=2,
2a+派/6=5派/6,a=派/3,
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