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cos72°—cos36°=____

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cos72°—cos36°=____
cos72°—cos36°=____
cos72°-cos36°
=cos(54+18)-cos(54-18)
=[cos54cos18-sin54sin18]-[cos54cos18+sin54sin18]
=-2sin54sin18 (sin54=cos36)
=-2cos36sin18
=-2cos36sin18cos18/cos18
=-cos36sin36/cos18
=-sin72/(2cos18)
=-sin72/(2sin72)
=-1/2