cos(180/11)cos(360/11)cos(540/11)cos(720/11)cos(900/11)

随性sm晓屿 1年前 已收到1个回答 举报

osaka119 幼苗

共回答了17个问题采纳率:94.1% 举报

原式等于{sin(180/11)cos(180/11)cos(360/11)cos(540/11)cos(720/11)cos(900/11)}/sin(180/11)={1/8sin(1440/11)cos(540/11)cos(900/11)}/sin(180/11)
={1/8sin(180-540/11)cos(540/11)cos(90-90/11)}/sin(180/11)
={1/16sin(1080/11)sin(90/11)}/sin(180/11)
={1/16cos(90/11)sin(90/11)}/sin(180/11)
=1/32

1年前

3
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