化简3sin(2x+π/3)-√3cos(2x+π/3)

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化简3sin(2x+π/3)-√3cos(2x+π/3)

解3sin(2x+π/3)-√3cos(2x+π/3)
=2√3(√3/2sin(2x+π/3)-1/2cos(2x+π/3))
=2√3(cosπ/6sin(2x+π/3)-sinπ/6cos(2x+π/3))
=2√3sin(2x+π/3-π/6)
=2√3sin(2x+π/6)

3sin2x