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数学
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如何计算cos36°×cos72°,
人气:154 ℃ 时间:2020-07-05 02:09:56
解答
利用二倍角公式即可
cos36°×cos72°
=sin36°*cos36°×cos72°/(sin36°)
=(1/2)sin72°×cos72°/(sin36°)
=(1/4)sin144°/sin36°
=(1/4)sin(180°-36°)/sin36°
=(1/4)sin36°/sin36°
=1/4
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