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