化简sin-根号3cosx

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化简sin-根号3cosx化简sin-根号3cosx化简sin-根号3cosxsinx-√3cosx=2(sinx/2-√3cosx/2)(因为1/2=cosπ/3,√3/2=sinπ/3)=2(si

化简sin-根号3cosx
化简sin-根号3cosx

化简sin-根号3cosx
sinx-√3cosx
=2(sinx/2-√3cosx/2)(因为1/2=cosπ/3,√3/2=sinπ/3)
=2(sinxcosπ/3-cosxsinπ/3)
=2sin(x-π/3)

sinx-sqrt(3)*cosx
=2(sinx*(1/2)-cosx*(sqrt(3)/2))
=2(sinx*cos(pi/3)-cosx*sin(pi/3))
=2sin(x-pi/3)
其中pi=3.1415926......