若tan(a+B)=2tana求证3sinb=sin2a+b
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若tan(a+B)=2tana求证3sinb=sin2a+b
若tan(a+B)=2tana求证3sinb=sin2a+b
若tan(a+B)=2tana求证3sinb=sin2a+b
sina+b/cosa+b=2tana=sina+b/cosa+b
sin2a+b=(sina+cosa2tana)cosa+b=3sinacosa+b①=3sina(cosacosb-sinasinb)
=sin2acosb+cos2asinb=2sinacosacosb+sinb-2sin2asinb
sinacosacosb-sin2asinb=sinb 带入①
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