作业帮cosπ/7cos2π/7cos4π/7cos8π/7=?每步都写
来源：学生作业帮助网 编辑：作业帮 时间：2024/05/07 04:25:31
cosπ/7cos2π/7cos4π/7cos8π/7=?每步都写
cosπ/7cos2π/7cos4π/7cos8π/7=?每步都写
cosπ/7cos2π/7cos4π/7cos8π/7=?每步都写
原式=16sinπ/7cosπ/7cos2π/7cos4π/7cos8π/7/(16siπ/7)
=8sin2π/7cos2π/7cos4π/7cos8π/7/(16siπ/7)
=4sin4π/7cos4π/7cos8π/7/(16siπ/7)
=2sin8π/7cos8π/7/(16siπ/7)
=sin16π/7/(16siπ/7)
=sin2π/7/(16sinπ/7)
=2sinπ/7cosπ/7/(16sinπ/7)
=(cosπ/7)/8