cos π/15 * cos 2π/15 * cos4π/15 * cos8π/15

傻瓜机1 1年前 已收到2个回答 举报

梦想在望 幼苗

共回答了22个问题采纳率:90.9% 举报

=[1/(sin π/15)]*sinπ/15 *cos π/15 * cos 2π/15 * cos4π/15 * cos8π/15
=[1/(sin π/15)]*(1/2)*sin2π/15 * cos 2π/15 * cos4π/15 * cos8π/15
=[1/(sin π/15)]*(1/4)*sin4π/15 * cos4π/15 * cos8π/15
=[1/(sin π/15)]*(1/8)*sin8π/15 * cos8π/15
=[1/(sin π/15)]*(1/16)*sin16π/15
=[1/(sin π/15)]*(1/16)*sin(π+π/15 )
=[1/(sin π/15)]*(1/16)*sinπ/15
=1/16

1年前

10

QQ飞鱼 幼苗

共回答了46个问题 举报

将分母看做1得到(cos π/15 * cos 2π/15 * cos4π/15 * cos8π/15 )/1
=(16sinπ/15 *cos 2π/15 * cos4π/15 * cos8π/15 )/16sinπ/15
=(8sin2π/15*cos 2π/15 * cos4π/1...

1年前

0
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