】已知函数f(x)=Asin(wx+ φ),（A>

】已知函数f(x)=Asin(wx+ φ),（A>0,0

1个回答

(1) A=2 两对称轴间的距离为π 则最小正周期为2π w=1 f(π/3)=2sin(π/3+φ)=1 sin(π/3+φ)=1/2
sin5π/6=1/2 φ=π/2 f(x)=2sin(x+π/2)=2cosx
(2) 2cosθ-sinθ=0 2cosθ=sinθ tanθ=2 cosθ=1/根号(2²+1²)=根号5/5

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