sin(x+y)=sinxcosy+cosxsiny

sin(x-y)=sinxcosy-cosxsiny

cos(x+y)=cosxcosy-sinxsiny

cos(x-y)=cosxcosy+sinxsiny

sin2x=2sinxcosx

cos2x=cosxcox-sinxsinx

sinx+siny=2sin((x+y)/2)cos((x-y)/2)

sinx-siny=2sin((x-y)/2)cos((x+y)/2)

cosx+cosy=2cos((x+y)/2)cos((x-y)/2)

cosx-cosy=-2sin((x+y)/2)sin((x-y)/2)

sin(-x)=-sinx

cos(-x)=cosx

tg(-x)=-tgx

ctg(-x)=-ctgx