3sinx-根号3cosx=2根号3sin(x+α).α属于(-π,π),则α的值是
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![3sinx-根号3cosx=2根号3sin(x+α).α属于(-π,π),则α的值是](/uploads/image/z/11552922-18-2.jpg?t=3sinx-%E6%A0%B9%E5%8F%B73cosx%3D2%E6%A0%B9%E5%8F%B73sin%EF%BC%88x%2B%CE%B1%EF%BC%89.%CE%B1%E5%B1%9E%E4%BA%8E%EF%BC%88-%CF%80%2C%CF%80%EF%BC%89%2C%E5%88%99%CE%B1%E7%9A%84%E5%80%BC%E6%98%AF)
3sinx-根号3cosx=2根号3sin(x+α).α属于(-π,π),则α的值是
3sinx-根号3cosx=2根号3sin(x+α).α属于(-π,π),则α的值是
3sinx-根号3cosx=2根号3sin(x+α).α属于(-π,π),则α的值是
左边=2√3(sinx*√3/2-cosx*1/2)
=2√3(sinxcosπ/6+cosxsinπ/6)
=2√3sin(x-π/6)
所以α=-π/6
3sinx-根号3cosx
=根号3^2+3sin(x+arctan(-根号3/3))
=2根号2sin(x+arctan(-根号3/3))
α=arctan(-根号3/3)
α属于(-π,π)
α=-π/6,α=5π/6
3sinx-根号3cosx=2根号3sin(x+α)
√3/2sinx-1/2cosx=sin(x+a)
sin(x-30)=sin(x+a)
x-30=x+a,a=-π/6