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已知函数f(x)=sin(x+θ)+sin(x-θ)-2sinθ x=R时f(x)大于等于0 θ属于(0,3/2π)且tan2θ=-3/4
求cosθ
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人气:135 ℃ 时间:2020-04-02 14:13:55
解答
f(x)=sin(x+θ)+sin(x-θ)-2sinθ=2[sin(x+θ+x-θ)/2*cos(x+θ-x+θ)/2]-2sinθ=2sinx*cosθ-2sinθ=√(4sin^2x+4)cos(α+θ)≥0θ∈(0,π/2)tan2θ=-3/42θ∈(π/2,π)sin2θ=-3/4cos2...
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