怎样将cos(π/12)cos(5π/12)化成cos(π/12)sin(π/12)?
问题描述:
怎样将cos(π/12)cos(5π/12)化成cos(π/12)sin(π/12)?
答
诱导公式第四组,cos(5π/12)=cos(π/2-π/12)=sin(π/12)
所以cos(π/12)cos(5π/12)=cos(π/12)sin(π/12)
还可以用倍角公式继续化简=1/2 *sin(π/6)=1/4