初中数学三角函数公式:和差化积

2019-11-03 17:35:54

和差化积
  
  2sinAcosB=sin(A+B)+sin(A-B)2cosAsinB=sin(A+B)-sin(A-B)
  
  2cosAcosB=cos(A+B)-sin(A-B)-2sinAsinB=cos(A+B)-cos(A-B)
  
  sinA+sinB=2sin((A+B)/2)cos((A-B)/2cosA+cosB=2cos((A+B)/2)sin((A-B)/2)
  
  tanA+tanB=sin(A+B)/cosAcosBtanA-tanB=sin(A-B)/cosAcosB
  
  ctgA+ctgBsin(A+B)/sinAsinB-ctgA+ctgBsin(A+B)/sinAsinB