√3sinA+cosA=2sin(A+π/6) 怎么变换过来的

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√3sinA+cosA=2sin(A+π/6)怎么变换过来的√3sinA+cosA=2sin(A+π/6)怎么变换过来的√3sinA+cosA=2sin(A+π/6)怎么变换过来的√3sinA+cos

√3sinA+cosA=2sin(A+π/6) 怎么变换过来的
√3sinA+cosA=2sin(A+π/6) 怎么变换过来的

√3sinA+cosA=2sin(A+π/6) 怎么变换过来的
√3sinA+cosA
=2(sinA*√3/2+cosA*1/2)
=2(sinA*cosπ/6+cosA*sinπ/6)
=2sin(A+π/6)
辅助角

√3sinA+cosA
=2[(√3/2)sinA+(1/2)cosA]
=2[cos(π/6)sinA+sin(π/6)cosA]
=2sin(A+π/6)

√3sinA+cosA
=2[sinAcos(π/6)+cosAsin(π/6)
=2sin(A+π/6)

√3sinA+cosA=2[(√3/2)sinA+(1/2)cosA]=2[cos(π/6)sinA+sin(π/6)cosA]=2sin(A+π/6)