cos5分之派×cos5分之2派的值等于_____

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cos5分之派×cos5分之2派的值等于_____
cos5分之派×cos5分之2派的值等于_____

cos5分之派×cos5分之2派的值等于_____
cosπ/5×cos2π/5
=(2sinπ/5×cosπ/5×cos2π/5)/(2sinπ/5)
=(sin2π/5×cos2π/5)/(2sinπ/5)
=(2sin2π/5×cos2π/5)/2×(2sinπ/5)
=sin4π/5/(4sinπ/5)
=sin(π-π/5)/(4sinπ/5)
=sin(π/5)/(4sinπ/5)
=1/4