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

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