已知:cos(15°+α)=3/5 ,α为锐角 求【tan(435°-α)+sin(α-165°)】/【cos(195°+α)×sin(105°+α)】

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已知:cos(15°+α)=3/5 ,α为锐角 求【tan(435°-α)+sin(α-165°)】/【cos(195°+α)×sin(105°+α)】

已知:cos(15°+α)=3/5 ,α为锐角 求【tan(435°-α)+sin(α-165°)】/【cos(195°+α)×sin(105°+α)】
已知:cos(15°+α)=3/5 ,α为锐角
求【tan(435°-α)+sin(α-165°)】/【cos(195°+α)×sin(105°+α)】

已知:cos(15°+α)=3/5 ,α为锐角 求【tan(435°-α)+sin(α-165°)】/【cos(195°+α)×sin(105°+α)】
α为锐角,cos(15°+α)=3/5>0,则15°+α是锐角,sin(15°+α)=4/5,tan(15°+α)=4/3
[tan(435°-α)+sin(α-165°)]/[cos(195°+α)×sin(105°+α)]
={tan[360°-(15°+α)]+sin[-180°+(15°+α)]}/{cos[180°+(15°+α)]×sin[90°+(15°+α)]}
=[-tan(15°+α)-sin(15°+α)]/[-cos(15°+α)×cos(15°+α)]
=(-4/3-4/5)/[(-3/5)*(3/5)]
=-(32/15)/(-9/25)
=160/27