cosπ/5×cos2π/5

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cosπ/5×cos2π/5
cosπ/5×cos2π/5

cosπ/5×cos2π/5
cosπ/5×cos2π/5=(2sinπ/5cosπ/5×cos2π/5)/2sinπ/5=(2sin2π/5×cos2π/5)/(4sinπ/5)
=(sin4π/5)/(4sinπ/5)=1/4

cosxcosy-sinxsiny=cos(x+y)
cosxcosy+sinxsiny=cos(x-y)
2cosxcosy=cos(x+y)+cos(x-y)
2cos∏/5cos2∏/5=cos(3∏/5)+cos(∏/5)
cos∏/5cos2∏/5={cos(3∏/5)+cos(∏/5)}/2