cosπ/5 +cos2π/5 +cos3π/5 +cos4π/5 =可以简写.

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/04 05:46:59

cosπ/5 +cos2π/5 +cos3π/5 +cos4π/5 =可以简写.
cosπ/5 +cos2π/5 +cos3π/5 +cos4π/5 =
可以简写.

cosπ/5 +cos2π/5 +cos3π/5 +cos4π/5 =可以简写.
cos4π/5=-cos(π-4π/5)=-cosπ/5
cos3π/5=-cos(π-3π/5)=-cos2π/5
所以
cosπ/5+cos2π/5+cos3π/5+cos4π/5
=cosπ/5+cos2π/5-cos2π/5-cosπ/5
=0