(2)、cos72-cos36=? (是度数)
热心网友
cos72-cos36 (度全部省略)=2sin18sin54 (有这样一个和差化积公式cosA-cosB=-[sin(A+B)/2][sin(A-B)/2]=2sin18cos36=2sin18cos18cos36/cos18=sin36cos36/cos18=(1/2)sin72/cos18=1/2
热心网友
cos72-cos36=cos(36+36)-cos36 =cos^36-sins^36-cos36 =cos^36-(1-cos36)^-cos36 =cos36-1
热心网友
cos72-cos36=2(cos36)^2-1-cos36=(cos36-1)(2cos36+1)