和差化积
sina+sinb=2sin(a+b/2)cos(a-b/2)
sina-sinb=2sin(a-b/2)cos(a+b/2)
cosa+cosb=2cos(a+b/2)cos(a-b/2)
sina+sinb=-2sin(a+b/2)sin(a-b/2)
二倍角公式
sin2a=2sinacosa
cos2a=cos^2a-sin^2a=2cos^2a-1=1-2sin^2a