请问cos(2π/7)+cos(4π/7)+cos(6π/7)=?,

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请问cos(2π/7)+cos(4π/7)+cos(6π/7)=?,

请问cos(2π/7)+cos(4π/7)+cos(6π/7)=?,
请问cos(2π/7)+cos(4π/7)+cos(6π/7)=?,

请问cos(2π/7)+cos(4π/7)+cos(6π/7)=?,
cos(2π/7)+cos(4π/7)+cos(6π/7)
=sin(2π/7)*[cos(2π/7)+cos(4π/7)+cos(6π/7)]/sin(2π/7)
=(sin(4π/7)+sin(6π/7)-sin(2π/7)+sin(8π/7)-sin(4π/7))/sin(2π/7)
=(sin(4π/7)+sin(6π/7)-sin(2π/7)-sin(π/7)-sin(4π/7))/sin(2π/7)
=(-sin(2π/7))/sin(2π/7)
=-1