求值:cos2π/7 * cos4π/7 * cos6π/7

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求值:cos2π/7 * cos4π/7 * cos6π/7
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求值:cos2π/7 * cos4π/7 * cos6π/7
求值:cos2π/7 * cos4π/7 * cos6π/7

求值:cos2π/7 * cos4π/7 * cos6π/7
原式=[sin(2π/7)*cos(2π/7)*cos(4π/7)*cos(6π/7)]/[sin(2π/7)]
=[sin(4π/7)*cos(4π/7)*cos96π/7)]/[2sin(2π/7)]
=[sin(8π/7)*cos(6π/7)]/[4sin(2π/7)]
=[sin(π+π/7)*cos(π-π/7)]/[4sin(2π/7)]
=+[sin(π/7)*cos(π/7)]/[4sin(2π/7)]
=sin(2π/7)/[8sin(2π/7)]
=1/8