cos72°-cos36°=?不要直接给答案-1/2,是怎么算出-1/2的.
1个回答

=cos(54+18)-cos(54-18)

=cos54cos18-sin54sin18-cos54cos18-sin54sin18

=-2sin54sin18

=-2cos36sin18

=-2sin18cos18cos36/(cos18)

=-sin36cos36/(cos18)

=-2sin36cos36/(2cos18)

=-sin72/(2cos18)

=-cos18/(2cos18)

=-1/2