根号2sinπ/32*cosπ/32*cosπ/16*cosπ/18 怎么化简

根号2sinπ/32*cosπ/32*cosπ/16*cosπ/18 怎么化简
根号2sinπ/32*cosπ/32*cosπ/16*cosπ/18 怎么化简

根号2sinπ/32*cosπ/32*cosπ/16*cosπ/18 怎么化简
最后是π/8吧
2sinπ/32*cosπ/32*cosπ/16*cosπ/8
=sinπ/16*cosπ/16*cosπ/8
=(1/2)sinπ/8cosπ/8
=(1/4)sinπ/4
=(√2)/8