问题标题:
化简sin6°cos24°sin78°cos48°
问题描述:
化简sin6°cos24°sin78°cos48°
孙宝亭回答:
sin6°cos24°sin78°cos48°=cos6°sin6°cos24°sin78°cos48°/cos6°
=sin12°cos12°cos24°cos48°/2cos6°
=sin24°cos24°cos48°/4cos6°
=sin48°cos48°/8cos6°
=sin96°/16cos6°
=cos6°/16cos6°
=1/16
(注:sin78°=cos12°sin96°=sin[90°-(-6°)]=cos(-6°)=cos6°)
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