cos5/12πcosπ/12+cosπ/12sinπ/6=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 12:53:03
cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12πcosπ/12+cosπ/12sinπ/6=?cos5/12

cos5/12πcosπ/12+cosπ/12sinπ/6=?
cos5/12πcosπ/12+cosπ/12sinπ/6=?

cos5/12πcosπ/12+cosπ/12sinπ/6=?
cos5/12πcosπ/12+cosπ/12sinπ/6
=cosπ/12(cos5/12π+sinπ/6)
=cosπ/12(cos(π/2-π/12)+sinπ/6)
=cosπ/12(sin(π/12)+2*sin(π/12)*cos(π/12))
=sin(π/12)*cos(π/12)*(1+2*cos(π/12))
=1/2*sin(π/6)*(1+2*cos(π/12))
=1/4*(1+2*cos(π/12))