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