1)cos40°соs20°= 1/2(cos(40°+20°)+cos(40°-20°) = 1/2(cos 60° + cos20°)= =1/2(1/2 +cos20°) = 1/4 + 1/2cos20°
2) cos(π/4+y)sin(π/4-y)= 1/2(sin (π/4+у+π/4-у)+sin(π/4+у-π74+у)) =
= 1/2(sin π/2+sin 2у)= 1/2(1+sin 2у) = 1/2 + 1/2sin2y
3)cos(x+y)cos(x-y) = 1/2(cos(х+у+х-у)+cos(х+у-х+у) = 1/2(cos2х + cos2у)=
=1/2cos2x + 1/2cos2y