cos九分之派乘以cos九分之二派乘以cos九分之三派乘以cos九分之四派。。
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解决时间 2021-04-07 15:41
- 提问者网友:焚苦与心
- 2021-04-06 19:00
cos九分之派乘以cos九分之二派乘以cos九分之三派乘以cos九分之四派。。
最佳答案
- 五星知识达人网友:轻雾山林
- 2021-04-06 19:16
是求值吗? 若是这样,则方法如下:
原式=cos(2π/14)cos(4π/14)cos(6π/14)
=2sin(2π/14)cos(2π/14)cos(4π/14)cos(6π/14)/[2sin(2π/14)]
=sin(4π/14)cos(4π/14)cos(6π/14)/[2sin(π/7)]
=2sin(4π/14)cos(4π/14)cos(6π/14)/[4sin(π/7)]
=sin(8π/14)cos(6π/14)/[4sin(π/7)]
=sin(π/2+π/14)cos(π/2-π/14)/[4sin(π/7)]
=2cos(π/14)sin(π/14)/[8sin(π/7)]
=sin(π/7)/[8sin(π/7)]
=1/8
注:若你的意图不是我所猜测的那样,则请你补充说明。
原式=cos(2π/14)cos(4π/14)cos(6π/14)
=2sin(2π/14)cos(2π/14)cos(4π/14)cos(6π/14)/[2sin(2π/14)]
=sin(4π/14)cos(4π/14)cos(6π/14)/[2sin(π/7)]
=2sin(4π/14)cos(4π/14)cos(6π/14)/[4sin(π/7)]
=sin(8π/14)cos(6π/14)/[4sin(π/7)]
=sin(π/2+π/14)cos(π/2-π/14)/[4sin(π/7)]
=2cos(π/14)sin(π/14)/[8sin(π/7)]
=sin(π/7)/[8sin(π/7)]
=1/8
注:若你的意图不是我所猜测的那样,则请你补充说明。
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