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f(x)=sin(x+θ)+√3cos(x-θ)为偶函数求tan(θ)
人气:186 ℃ 时间:2020-02-03 11:35:10
解答
∵函数f(x)=sin(x+θ)+√3cos(x-θ)为偶函数∴f(x)=f(-x)∴sin(x+θ)+√3cos(x-θ)=sin(-x+θ)+√3cos(-x-θ)∴sin(x+θ)-sin(-x+θ)=-√3cos(x-θ)+√3cos(x+θ)∴2sinxcosθ=-2√3sinxsinθ又sinx不恒等于0∴c...谢了别客气!
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