已知向量m=(sinx,1),n=(根号3cosx,1/2)...函数f(x)=(m+n)*m
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![已知向量m=(sinx,1),n=(根号3cosx,1/2)...函数f(x)=(m+n)*m](/uploads/image/z/2523669-69-9.jpg?t=%E5%B7%B2%E7%9F%A5%E5%90%91%E9%87%8Fm%3D%EF%BC%88sinx%2C1%EF%BC%89%2Cn%3D%EF%BC%88%E6%A0%B9%E5%8F%B73cosx%2C1%2F2%EF%BC%89...%E5%87%BD%E6%95%B0f%EF%BC%88x%EF%BC%89%3D%EF%BC%88m%2Bn%EF%BC%89%2Am)
已知向量m=(sinx,1),n=(根号3cosx,1/2)...函数f(x)=(m+n)*m
已知向量m=(sinx,1),n=(根号3cosx,1/2)
...函数f(x)=(m+n)*m
已知向量m=(sinx,1),n=(根号3cosx,1/2)...函数f(x)=(m+n)*m
向量m+n=(sinx+√3cosx,3/2)
f(x)=(sinx+ √3cosx)sinx+3/2=(sinx)^2+√3sinxcosx+3/2
=(√3/2)sin2x-(1/2)cos2x+2=sin(2x-π/6)+2
m+n=(sinx+√3cosx,3/2)
m=(sinx,1)
f(x)=sinx(sinx+√3cosx)+3/2
=sin²x+√3sinxcosx+3/2
=(1-cos2x)/2+(√3/2)sin2x+3/2
=sin2x*cos(π/6)-cos2x*sin(π/6)+2
=sin(2x-π/6)+2